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Finding the Third Proportional to 45,234 and 99,442.13

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Solution

The third proportional to 45,234 and 99,442.13 is: 218,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234 : 99,442.13 = 99,442.13 : x
  2. Step 2: Convert to fraction form
    45,234/99,442.13 = 99,442.13/x
  3. Step 3: Cross multiply
    45,234x = 99,442.13 × 99,442.13
  4. Step 4: Simplify right side
    45,234x = 9,888,736,224.52
  5. Step 5: Solve for x
    x = 9,888,736,224.52/45,234
  6. Step 6: Final answer
    x = 218,612.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.