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Finding the Third Proportional to 138,664.13 and 198,154.13

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Solution

The third proportional to 138,664.13 and 198,154.13 is: 283,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,664.13 : 198,154.13 = 198,154.13 : x
  2. Step 2: Convert to fraction form
    138,664.13/198,154.13 = 198,154.13/x
  3. Step 3: Cross multiply
    138,664.13x = 198,154.13 × 198,154.13
  4. Step 4: Simplify right side
    138,664.13x = 39,265,057,254.52
  5. Step 5: Solve for x
    x = 39,265,057,254.52/138,664.13
  6. Step 6: Final answer
    x = 283,166.66

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.