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Finding the Third Proportional to 98,464 and 147,808

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Solution

The third proportional to 98,464 and 147,808 is: 221,880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,464 : 147,808 = 147,808 : x
  2. Step 2: Convert to fraction form
    98,464/147,808 = 147,808/x
  3. Step 3: Cross multiply
    98,464x = 147,808 × 147,808
  4. Step 4: Simplify right side
    98,464x = 21,847,204,864
  5. Step 5: Solve for x
    x = 21,847,204,864/98,464
  6. Step 6: Final answer
    x = 221,880.13

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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.