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Finding the Third Proportional to 95,140.83 and 209,114.16

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Solution

The third proportional to 95,140.83 and 209,114.16 is: 459,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,140.83 : 209,114.16 = 209,114.16 : x
  2. Step 2: Convert to fraction form
    95,140.83/209,114.16 = 209,114.16/x
  3. Step 3: Cross multiply
    95,140.83x = 209,114.16 × 209,114.16
  4. Step 4: Simplify right side
    95,140.83x = 43,728,730,344.15
  5. Step 5: Solve for x
    x = 43,728,730,344.15/95,140.83
  6. Step 6: Final answer
    x = 459,621.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.