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Finding the Third Proportional to 98,484 and 147,686

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Solution

The third proportional to 98,484 and 147,686 is: 221,469.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,484 : 147,686 = 147,686 : x
  2. Step 2: Convert to fraction form
    98,484/147,686 = 147,686/x
  3. Step 3: Cross multiply
    98,484x = 147,686 × 147,686
  4. Step 4: Simplify right side
    98,484x = 21,811,154,596
  5. Step 5: Solve for x
    x = 21,811,154,596/98,484
  6. Step 6: Final answer
    x = 221,469.02

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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.