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Finding the Third Proportional to 42,226.31 and 93,673.13

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Solution

The third proportional to 42,226.31 and 93,673.13 is: 207,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,226.31 : 93,673.13 = 93,673.13 : x
  2. Step 2: Convert to fraction form
    42,226.31/93,673.13 = 93,673.13/x
  3. Step 3: Cross multiply
    42,226.31x = 93,673.13 × 93,673.13
  4. Step 4: Simplify right side
    42,226.31x = 8,774,654,347.27
  5. Step 5: Solve for x
    x = 8,774,654,347.27/42,226.31
  6. Step 6: Final answer
    x = 207,800.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.