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Finding the Third Proportional to 191,089.13 and 415,347.75

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Solution

The third proportional to 191,089.13 and 415,347.75 is: 902,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,089.13 : 415,347.75 = 415,347.75 : x
  2. Step 2: Convert to fraction form
    191,089.13/415,347.75 = 415,347.75/x
  3. Step 3: Cross multiply
    191,089.13x = 415,347.75 × 415,347.75
  4. Step 4: Simplify right side
    191,089.13x = 172,513,753,430.06
  5. Step 5: Solve for x
    x = 172,513,753,430.06/191,089.13
  6. Step 6: Final answer
    x = 902,792.11

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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.