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Finding the Third Proportional to 46,129.50 and 99,331.88

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Solution

The third proportional to 46,129.50 and 99,331.88 is: 213,893.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,129.50 : 99,331.88 = 99,331.88 : x
  2. Step 2: Convert to fraction form
    46,129.50/99,331.88 = 99,331.88/x
  3. Step 3: Cross multiply
    46,129.50x = 99,331.88 × 99,331.88
  4. Step 4: Simplify right side
    46,129.50x = 9,866,821,391.02
  5. Step 5: Solve for x
    x = 9,866,821,391.02/46,129.50
  6. Step 6: Final answer
    x = 213,893.96

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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.