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Finding the Third Proportional to 98,689.50 and 213,140.25

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Solution

The third proportional to 98,689.50 and 213,140.25 is: 460,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,689.50 : 213,140.25 = 213,140.25 : x
  2. Step 2: Convert to fraction form
    98,689.50/213,140.25 = 213,140.25/x
  3. Step 3: Cross multiply
    98,689.50x = 213,140.25 × 213,140.25
  4. Step 4: Simplify right side
    98,689.50x = 45,428,766,170.06
  5. Step 5: Solve for x
    x = 45,428,766,170.06/98,689.50
  6. Step 6: Final answer
    x = 460,320.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.