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Finding the Third Proportional to 44,730.25 and 96,466.38

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Solution

The third proportional to 44,730.25 and 96,466.38 is: 208,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730.25 : 96,466.38 = 96,466.38 : x
  2. Step 2: Convert to fraction form
    44,730.25/96,466.38 = 96,466.38/x
  3. Step 3: Cross multiply
    44,730.25x = 96,466.38 × 96,466.38
  4. Step 4: Simplify right side
    44,730.25x = 9,305,761,505.64
  5. Step 5: Solve for x
    x = 9,305,761,505.64/44,730.25
  6. Step 6: Final answer
    x = 208,041.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.