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Finding the Third Proportional to 46,178.25 and 99,418.88

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Solution

The third proportional to 46,178.25 and 99,418.88 is: 214,042.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,178.25 : 99,418.88 = 99,418.88 : x
  2. Step 2: Convert to fraction form
    46,178.25/99,418.88 = 99,418.88/x
  3. Step 3: Cross multiply
    46,178.25x = 99,418.88 × 99,418.88
  4. Step 4: Simplify right side
    46,178.25x = 9,884,112,706.27
  5. Step 5: Solve for x
    x = 9,884,112,706.27/46,178.25
  6. Step 6: Final answer
    x = 214,042.60

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.