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Finding the Third Proportional to 92,484 and 202,090

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Solution

The third proportional to 92,484 and 202,090 is: 441,593.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,484 : 202,090 = 202,090 : x
  2. Step 2: Convert to fraction form
    92,484/202,090 = 202,090/x
  3. Step 3: Cross multiply
    92,484x = 202,090 × 202,090
  4. Step 4: Simplify right side
    92,484x = 40,840,368,100
  5. Step 5: Solve for x
    x = 40,840,368,100/92,484
  6. Step 6: Final answer
    x = 441,593.88

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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.