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Finding the Third Proportional to 45,489.73 and 98,710.52

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Solution

The third proportional to 45,489.73 and 98,710.52 is: 214,197.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,489.73 : 98,710.52 = 98,710.52 : x
  2. Step 2: Convert to fraction form
    45,489.73/98,710.52 = 98,710.52/x
  3. Step 3: Cross multiply
    45,489.73x = 98,710.52 × 98,710.52
  4. Step 4: Simplify right side
    45,489.73x = 9,743,767,437.31
  5. Step 5: Solve for x
    x = 9,743,767,437.31/45,489.73
  6. Step 6: Final answer
    x = 214,197.10

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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.