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Finding the Third Proportional to 46,082.25 and 99,454.50

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Solution

The third proportional to 46,082.25 and 99,454.50 is: 214,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082.25 : 99,454.50 = 99,454.50 : x
  2. Step 2: Convert to fraction form
    46,082.25/99,454.50 = 99,454.50/x
  3. Step 3: Cross multiply
    46,082.25x = 99,454.50 × 99,454.50
  4. Step 4: Simplify right side
    46,082.25x = 9,891,197,570.25
  5. Step 5: Solve for x
    x = 9,891,197,570.25/46,082.25
  6. Step 6: Final answer
    x = 214,642.24

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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.