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Finding the Third Proportional to 42,636.38 and 99,645.19

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Solution

The third proportional to 42,636.38 and 99,645.19 is: 232,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,636.38 : 99,645.19 = 99,645.19 : x
  2. Step 2: Convert to fraction form
    42,636.38/99,645.19 = 99,645.19/x
  3. Step 3: Cross multiply
    42,636.38x = 99,645.19 × 99,645.19
  4. Step 4: Simplify right side
    42,636.38x = 9,929,163,391.91
  5. Step 5: Solve for x
    x = 9,929,163,391.91/42,636.38
  6. Step 6: Final answer
    x = 232,880.10

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.