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Finding the Third Proportional to 92,291.38 and 201,664.13

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Solution

The third proportional to 92,291.38 and 201,664.13 is: 440,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,291.38 : 201,664.13 = 201,664.13 : x
  2. Step 2: Convert to fraction form
    92,291.38/201,664.13 = 201,664.13/x
  3. Step 3: Cross multiply
    92,291.38x = 201,664.13 × 201,664.13
  4. Step 4: Simplify right side
    92,291.38x = 40,668,419,312.02
  5. Step 5: Solve for x
    x = 40,668,419,312.02/92,291.38
  6. Step 6: Final answer
    x = 440,652.44

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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.