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Finding the Third Proportional to 92,343.38 and 202,202.13

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Solution

The third proportional to 92,343.38 and 202,202.13 is: 442,757.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,343.38 : 202,202.13 = 202,202.13 : x
  2. Step 2: Convert to fraction form
    92,343.38/202,202.13 = 202,202.13/x
  3. Step 3: Cross multiply
    92,343.38x = 202,202.13 × 202,202.13
  4. Step 4: Simplify right side
    92,343.38x = 40,885,699,354.52
  5. Step 5: Solve for x
    x = 40,885,699,354.52/92,343.38
  6. Step 6: Final answer
    x = 442,757.26

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1.5x scale

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.