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Finding the Third Proportional to 42,595.24 and 92,879.16

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Solution

The third proportional to 42,595.24 and 92,879.16 is: 202,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,595.24 : 92,879.16 = 92,879.16 : x
  2. Step 2: Convert to fraction form
    42,595.24/92,879.16 = 92,879.16/x
  3. Step 3: Cross multiply
    42,595.24x = 92,879.16 × 92,879.16
  4. Step 4: Simplify right side
    42,595.24x = 8,626,537,665.71
  5. Step 5: Solve for x
    x = 8,626,537,665.71/42,595.24
  6. Step 6: Final answer
    x = 202,523.50

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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.