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Finding the Third Proportional to 42,508.65 and 92,788.45

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Solution

The third proportional to 42,508.65 and 92,788.45 is: 202,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,508.65 : 92,788.45 = 92,788.45 : x
  2. Step 2: Convert to fraction form
    42,508.65/92,788.45 = 92,788.45/x
  3. Step 3: Cross multiply
    42,508.65x = 92,788.45 × 92,788.45
  4. Step 4: Simplify right side
    42,508.65x = 8,609,697,033.33
  5. Step 5: Solve for x
    x = 8,609,697,033.33/42,508.65
  6. Step 6: Final answer
    x = 202,539.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.