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Finding the Third Proportional to 98,396 and 147,612

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Solution

The third proportional to 98,396 and 147,612 is: 221,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,396 : 147,612 = 147,612 : x
  2. Step 2: Convert to fraction form
    98,396/147,612 = 147,612/x
  3. Step 3: Cross multiply
    98,396x = 147,612 × 147,612
  4. Step 4: Simplify right side
    98,396x = 21,789,302,544
  5. Step 5: Solve for x
    x = 21,789,302,544/98,396
  6. Step 6: Final answer
    x = 221,445.00

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Why These Related Problems?

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