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Finding the Third Proportional to 83,770.88 and 182,602.13

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Solution

The third proportional to 83,770.88 and 182,602.13 is: 398,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,770.88 : 182,602.13 = 182,602.13 : x
  2. Step 2: Convert to fraction form
    83,770.88/182,602.13 = 182,602.13/x
  3. Step 3: Cross multiply
    83,770.88x = 182,602.13 × 182,602.13
  4. Step 4: Simplify right side
    83,770.88x = 33,343,536,054.52
  5. Step 5: Solve for x
    x = 33,343,536,054.52/83,770.88
  6. Step 6: Final answer
    x = 398,032.56

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.