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Finding the Third Proportional to 133,822.13 and 207,456.19

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Solution

The third proportional to 133,822.13 and 207,456.19 is: 321,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,822.13 : 207,456.19 = 207,456.19 : x
  2. Step 2: Convert to fraction form
    133,822.13/207,456.19 = 207,456.19/x
  3. Step 3: Cross multiply
    133,822.13x = 207,456.19 × 207,456.19
  4. Step 4: Simplify right side
    133,822.13x = 43,038,069,732.04
  5. Step 5: Solve for x
    x = 43,038,069,732.04/133,822.13
  6. Step 6: Final answer
    x = 321,606.53

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.