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Finding the Third Proportional to 107,347.78 and 157,815.84

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Solution

The third proportional to 107,347.78 and 157,815.84 is: 232,010.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,347.78 : 157,815.84 = 157,815.84 : x
  2. Step 2: Convert to fraction form
    107,347.78/157,815.84 = 157,815.84/x
  3. Step 3: Cross multiply
    107,347.78x = 157,815.84 × 157,815.84
  4. Step 4: Simplify right side
    107,347.78x = 24,905,840,538.52
  5. Step 5: Solve for x
    x = 24,905,840,538.52/107,347.78
  6. Step 6: Final answer
    x = 232,010.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.