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Finding the Third Proportional to 98,493 and 147,709

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Solution

The third proportional to 98,493 and 147,709 is: 221,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,493 : 147,709 = 147,709 : x
  2. Step 2: Convert to fraction form
    98,493/147,709 = 147,709/x
  3. Step 3: Cross multiply
    98,493x = 147,709 × 147,709
  4. Step 4: Simplify right side
    98,493x = 21,817,948,681
  5. Step 5: Solve for x
    x = 21,817,948,681/98,493
  6. Step 6: Final answer
    x = 221,517.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.