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Finding the Third Proportional to 45,234 and 98,499

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Solution

The third proportional to 45,234 and 98,499 is: 214,485.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 98,499 = 98,499 : x
  2. Step 2: Convert to fraction form
    45,234/98,499 = 98,499/x
  3. Step 3: Cross multiply
    45,234x = 98,499 × 98,499
  4. Step 4: Simplify right side
    45,234x = 9,702,053,001
  5. Step 5: Solve for x
    x = 9,702,053,001/45,234
  6. Step 6: Final answer
    x = 214,485.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.