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Finding the Third Proportional to 98,862.75 and 149,680.13

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Solution

The third proportional to 98,862.75 and 149,680.13 is: 226,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,862.75 : 149,680.13 = 149,680.13 : x
  2. Step 2: Convert to fraction form
    98,862.75/149,680.13 = 149,680.13/x
  3. Step 3: Cross multiply
    98,862.75x = 149,680.13 × 149,680.13
  4. Step 4: Simplify right side
    98,862.75x = 22,404,139,820.02
  5. Step 5: Solve for x
    x = 22,404,139,820.02/98,862.75
  6. Step 6: Final answer
    x = 226,618.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.