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Finding the Third Proportional to 187,744,452.75 and 407,808,892.69

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Solution

The third proportional to 187,744,452.75 and 407,808,892.69 is: 885,821,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,744,452.75 : 407,808,892.69 = 407,808,892.69 : x
  2. Step 2: Convert to fraction form
    187,744,452.75/407,808,892.69 = 407,808,892.69/x
  3. Step 3: Cross multiply
    187,744,452.75x = 407,808,892.69 × 407,808,892.69
  4. Step 4: Simplify right side
    187,744,452.75x = 166,308,092,955,004,896
  5. Step 5: Solve for x
    x = 166,308,092,955,004,896/187,744,452.75
  6. Step 6: Final answer
    x = 885,821,607.61

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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.