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Finding the Third Proportional to 104,057,728,913.25 and 165,576,302,801.25

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Solution

The third proportional to 104,057,728,913.25 and 165,576,302,801.25 is: 263,464,447,433.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,057,728,913.25 : 165,576,302,801.25 = 165,576,302,801.25 : x
  2. Step 2: Convert to fraction form
    104,057,728,913.25/165,576,302,801.25 = 165,576,302,801.25/x
  3. Step 3: Cross multiply
    104,057,728,913.25x = 165,576,302,801.25 × 165,576,302,801.25
  4. Step 4: Simplify right side
    104,057,728,913.25x = 27,415,512,049,331,227,066,368
  5. Step 5: Solve for x
    x = 27,415,512,049,331,227,066,368/104,057,728,913.25
  6. Step 6: Final answer
    x = 263,464,447,433.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.