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Finding the Third Proportional to 45,810.75 and 99,455.25

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Solution

The third proportional to 45,810.75 and 99,455.25 is: 215,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,810.75 : 99,455.25 = 99,455.25 : x
  2. Step 2: Convert to fraction form
    45,810.75/99,455.25 = 99,455.25/x
  3. Step 3: Cross multiply
    45,810.75x = 99,455.25 × 99,455.25
  4. Step 4: Simplify right side
    45,810.75x = 9,891,346,752.56
  5. Step 5: Solve for x
    x = 9,891,346,752.56/45,810.75
  6. Step 6: Final answer
    x = 215,917.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.