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Finding the Third Proportional to 98,748 and 212,481.75

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Solution

The third proportional to 98,748 and 212,481.75 is: 457,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,748 : 212,481.75 = 212,481.75 : x
  2. Step 2: Convert to fraction form
    98,748/212,481.75 = 212,481.75/x
  3. Step 3: Cross multiply
    98,748x = 212,481.75 × 212,481.75
  4. Step 4: Simplify right side
    98,748x = 45,148,494,083.06
  5. Step 5: Solve for x
    x = 45,148,494,083.06/98,748
  6. Step 6: Final answer
    x = 457,209.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.