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Finding the Third Proportional to 83,008.13 and 183,459.38

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Solution

The third proportional to 83,008.13 and 183,459.38 is: 405,470.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.13 : 183,459.38 = 183,459.38 : x
  2. Step 2: Convert to fraction form
    83,008.13/183,459.38 = 183,459.38/x
  3. Step 3: Cross multiply
    83,008.13x = 183,459.38 × 183,459.38
  4. Step 4: Simplify right side
    83,008.13x = 33,657,342,275.39
  5. Step 5: Solve for x
    x = 33,657,342,275.39/83,008.13
  6. Step 6: Final answer
    x = 405,470.46

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.