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Finding the Third Proportional to 85,411.13 and 186,909.56

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Solution

The third proportional to 85,411.13 and 186,909.56 is: 409,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,411.13 : 186,909.56 = 186,909.56 : x
  2. Step 2: Convert to fraction form
    85,411.13/186,909.56 = 186,909.56/x
  3. Step 3: Cross multiply
    85,411.13x = 186,909.56 × 186,909.56
  4. Step 4: Simplify right side
    85,411.13x = 34,935,184,553.94
  5. Step 5: Solve for x
    x = 34,935,184,553.94/85,411.13
  6. Step 6: Final answer
    x = 409,023.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.