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Finding the Third Proportional to 123,040,838.25 and 179,890,004.25

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Solution

The third proportional to 123,040,838.25 and 179,890,004.25 is: 263,005,471.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,040,838.25 : 179,890,004.25 = 179,890,004.25 : x
  2. Step 2: Convert to fraction form
    123,040,838.25/179,890,004.25 = 179,890,004.25/x
  3. Step 3: Cross multiply
    123,040,838.25x = 179,890,004.25 × 179,890,004.25
  4. Step 4: Simplify right side
    123,040,838.25x = 32,360,413,629,065,020
  5. Step 5: Solve for x
    x = 32,360,413,629,065,020/123,040,838.25
  6. Step 6: Final answer
    x = 263,005,471.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.