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Finding the Third Proportional to 176,224,518 and 381,732,108

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Solution

The third proportional to 176,224,518 and 381,732,108 is: 826,896,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,224,518 : 381,732,108 = 381,732,108 : x
  2. Step 2: Convert to fraction form
    176,224,518/381,732,108 = 381,732,108/x
  3. Step 3: Cross multiply
    176,224,518x = 381,732,108 × 381,732,108
  4. Step 4: Simplify right side
    176,224,518x = 145,719,402,278,123,648
  5. Step 5: Solve for x
    x = 145,719,402,278,123,648/176,224,518
  6. Step 6: Final answer
    x = 826,896,302.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.