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Finding the Third Proportional to 83,008.55 and 183,459.94

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Solution

The third proportional to 83,008.55 and 183,459.94 is: 405,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,008.55 : 183,459.94 = 183,459.94 : x
  2. Step 2: Convert to fraction form
    83,008.55/183,459.94 = 183,459.94/x
  3. Step 3: Cross multiply
    83,008.55x = 183,459.94 × 183,459.94
  4. Step 4: Simplify right side
    83,008.55x = 33,657,548,667.50
  5. Step 5: Solve for x
    x = 33,657,548,667.50/83,008.55
  6. Step 6: Final answer
    x = 405,470.88

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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.