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Finding the Third Proportional to 103,614,454 and 226,696,624

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Solution

The third proportional to 103,614,454 and 226,696,624 is: 495,986,393.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614,454 : 226,696,624 = 226,696,624 : x
  2. Step 2: Convert to fraction form
    103,614,454/226,696,624 = 226,696,624/x
  3. Step 3: Cross multiply
    103,614,454x = 226,696,624 × 226,696,624
  4. Step 4: Simplify right side
    103,614,454x = 51,391,359,332,997,376
  5. Step 5: Solve for x
    x = 51,391,359,332,997,376/103,614,454
  6. Step 6: Final answer
    x = 495,986,393.30

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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.