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Finding the Third Proportional to 103,614,470 and 226,696,656

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Solution

The third proportional to 103,614,470 and 226,696,656 is: 495,986,456.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,470 : 226,696,656 = 226,696,656 : x
  2. Step 2: Convert to fraction form
    103,614,470/226,696,656 = 226,696,656/x
  3. Step 3: Cross multiply
    103,614,470x = 226,696,656 × 226,696,656
  4. Step 4: Simplify right side
    103,614,470x = 51,391,373,841,582,336
  5. Step 5: Solve for x
    x = 51,391,373,841,582,336/103,614,470
  6. Step 6: Final answer
    x = 495,986,456.73

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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.