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Finding the Third Proportional to 147,872,096 and 329,744,704

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Solution

The third proportional to 147,872,096 and 329,744,704 is: 735,308,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,872,096 : 329,744,704 = 329,744,704 : x
  2. Step 2: Convert to fraction form
    147,872,096/329,744,704 = 329,744,704/x
  3. Step 3: Cross multiply
    147,872,096x = 329,744,704 × 329,744,704
  4. Step 4: Simplify right side
    147,872,096x = 108,731,569,816,047,616
  5. Step 5: Solve for x
    x = 108,731,569,816,047,616/147,872,096
  6. Step 6: Final answer
    x = 735,308,234.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.