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Finding the Third Proportional to 103,614,438 and 226,696,592

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Solution

The third proportional to 103,614,438 and 226,696,592 is: 495,986,329.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,438 : 226,696,592 = 226,696,592 : x
  2. Step 2: Convert to fraction form
    103,614,438/226,696,592 = 226,696,592/x
  3. Step 3: Cross multiply
    103,614,438x = 226,696,592 × 226,696,592
  4. Step 4: Simplify right side
    103,614,438x = 51,391,344,824,414,464
  5. Step 5: Solve for x
    x = 51,391,344,824,414,464/103,614,438
  6. Step 6: Final answer
    x = 495,986,329.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.