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Finding the Third Proportional to 98,648 and 215,750

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Solution

The third proportional to 98,648 and 215,750 is: 471,860.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,648 : 215,750 = 215,750 : x
  2. Step 2: Convert to fraction form
    98,648/215,750 = 215,750/x
  3. Step 3: Cross multiply
    98,648x = 215,750 × 215,750
  4. Step 4: Simplify right side
    98,648x = 46,548,062,500
  5. Step 5: Solve for x
    x = 46,548,062,500/98,648
  6. Step 6: Final answer
    x = 471,860.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.