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Finding the Third Proportional to 104,057,730,360 and 165,576,305,394

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Solution

The third proportional to 104,057,730,360 and 165,576,305,394 is: 263,464,452,021.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,057,730,360 : 165,576,305,394 = 165,576,305,394 : x
  2. Step 2: Convert to fraction form
    104,057,730,360/165,576,305,394 = 165,576,305,394/x
  3. Step 3: Cross multiply
    104,057,730,360x = 165,576,305,394 × 165,576,305,394
  4. Step 4: Simplify right side
    104,057,730,360x = 27,415,512,907,927,154,327,552
  5. Step 5: Solve for x
    x = 27,415,512,907,927,154,327,552/104,057,730,360
  6. Step 6: Final answer
    x = 263,464,452,021.78

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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.