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Finding the Third Proportional to 45,292.31 and 98,388.38

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Solution

The third proportional to 45,292.31 and 98,388.38 is: 213,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,292.31 : 98,388.38 = 98,388.38 : x
  2. Step 2: Convert to fraction form
    45,292.31/98,388.38 = 98,388.38/x
  3. Step 3: Cross multiply
    45,292.31x = 98,388.38 × 98,388.38
  4. Step 4: Simplify right side
    45,292.31x = 9,680,272,335.14
  5. Step 5: Solve for x
    x = 9,680,272,335.14/45,292.31
  6. Step 6: Final answer
    x = 213,728.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.