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Finding the Third Proportional to 191,707.13 and 415,363.88

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Solution

The third proportional to 191,707.13 and 415,363.88 is: 899,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,707.13 : 415,363.88 = 415,363.88 : x
  2. Step 2: Convert to fraction form
    191,707.13/415,363.88 = 415,363.88/x
  3. Step 3: Cross multiply
    191,707.13x = 415,363.88 × 415,363.88
  4. Step 4: Simplify right side
    191,707.13x = 172,527,148,655.02
  5. Step 5: Solve for x
    x = 172,527,148,655.02/191,707.13
  6. Step 6: Final answer
    x = 899,951.68

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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.