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Finding the Third Proportional to 42,605.16 and 89,617.22

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Solution

The third proportional to 42,605.16 and 89,617.22 is: 188,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,605.16 : 89,617.22 = 89,617.22 : x
  2. Step 2: Convert to fraction form
    42,605.16/89,617.22 = 89,617.22/x
  3. Step 3: Cross multiply
    42,605.16x = 89,617.22 × 89,617.22
  4. Step 4: Simplify right side
    42,605.16x = 8,031,245,896.49
  5. Step 5: Solve for x
    x = 8,031,245,896.49/42,605.16
  6. Step 6: Final answer
    x = 188,504.08

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.