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Finding the Third Proportional to 107,223.60 and 232,099.65

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Solution

The third proportional to 107,223.60 and 232,099.65 is: 502,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,223.60 : 232,099.65 = 232,099.65 : x
  2. Step 2: Convert to fraction form
    107,223.60/232,099.65 = 232,099.65/x
  3. Step 3: Cross multiply
    107,223.60x = 232,099.65 × 232,099.65
  4. Step 4: Simplify right side
    107,223.60x = 53,870,245,898.17
  5. Step 5: Solve for x
    x = 53,870,245,898.17/107,223.60
  6. Step 6: Final answer
    x = 502,410.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.