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Finding the Third Proportional to 92,666.53 and 202,327.88

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Solution

The third proportional to 92,666.53 and 202,327.88 is: 441,762.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,666.53 : 202,327.88 = 202,327.88 : x
  2. Step 2: Convert to fraction form
    92,666.53/202,327.88 = 202,327.88/x
  3. Step 3: Cross multiply
    92,666.53x = 202,327.88 × 202,327.88
  4. Step 4: Simplify right side
    92,666.53x = 40,936,569,002.02
  5. Step 5: Solve for x
    x = 40,936,569,002.02/92,666.53
  6. Step 6: Final answer
    x = 441,762.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.