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Finding the Third Proportional to 45,763.31 and 98,549.16

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Solution

The third proportional to 45,763.31 and 98,549.16 is: 212,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,763.31 : 98,549.16 = 98,549.16 : x
  2. Step 2: Convert to fraction form
    45,763.31/98,549.16 = 98,549.16/x
  3. Step 3: Cross multiply
    45,763.31x = 98,549.16 × 98,549.16
  4. Step 4: Simplify right side
    45,763.31x = 9,711,936,197.59
  5. Step 5: Solve for x
    x = 9,711,936,197.59/45,763.31
  6. Step 6: Final answer
    x = 212,221.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.