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Finding the Third Proportional to 42,533.44 and 93,207.38

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Solution

The third proportional to 42,533.44 and 93,207.38 is: 204,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,533.44 : 93,207.38 = 93,207.38 : x
  2. Step 2: Convert to fraction form
    42,533.44/93,207.38 = 93,207.38/x
  3. Step 3: Cross multiply
    42,533.44x = 93,207.38 × 93,207.38
  4. Step 4: Simplify right side
    42,533.44x = 8,687,614,754.39
  5. Step 5: Solve for x
    x = 8,687,614,754.39/42,533.44
  6. Step 6: Final answer
    x = 204,253.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.