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Finding the Third Proportional to 98,234.13 and 147,924.38

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Solution

The third proportional to 98,234.13 and 147,924.38 is: 222,749.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,234.13 : 147,924.38 = 147,924.38 : x
  2. Step 2: Convert to fraction form
    98,234.13/147,924.38 = 147,924.38/x
  3. Step 3: Cross multiply
    98,234.13x = 147,924.38 × 147,924.38
  4. Step 4: Simplify right side
    98,234.13x = 21,881,620,719.14
  5. Step 5: Solve for x
    x = 21,881,620,719.14/98,234.13
  6. Step 6: Final answer
    x = 222,749.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.