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Finding the Third Proportional to 176,224,516 and 381,732,104

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Solution

The third proportional to 176,224,516 and 381,732,104 is: 826,896,294.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,224,516 : 381,732,104 = 381,732,104 : x
  2. Step 2: Convert to fraction form
    176,224,516/381,732,104 = 381,732,104/x
  3. Step 3: Cross multiply
    176,224,516x = 381,732,104 × 381,732,104
  4. Step 4: Simplify right side
    176,224,516x = 145,719,399,224,266,816
  5. Step 5: Solve for x
    x = 145,719,399,224,266,816/176,224,516
  6. Step 6: Final answer
    x = 826,896,294.18

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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.