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Finding the Third Proportional to 107,056.69 and 232,019.44

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Solution

The third proportional to 107,056.69 and 232,019.44 is: 502,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056.69 : 232,019.44 = 232,019.44 : x
  2. Step 2: Convert to fraction form
    107,056.69/232,019.44 = 232,019.44/x
  3. Step 3: Cross multiply
    107,056.69x = 232,019.44 × 232,019.44
  4. Step 4: Simplify right side
    107,056.69x = 53,833,019,377.82
  5. Step 5: Solve for x
    x = 53,833,019,377.82/107,056.69
  6. Step 6: Final answer
    x = 502,845.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.