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Finding the Third Proportional to 99,757.50 and 215,341.50

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Solution

The third proportional to 99,757.50 and 215,341.50 is: 464,846.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,757.50 : 215,341.50 = 215,341.50 : x
  2. Step 2: Convert to fraction form
    99,757.50/215,341.50 = 215,341.50/x
  3. Step 3: Cross multiply
    99,757.50x = 215,341.50 × 215,341.50
  4. Step 4: Simplify right side
    99,757.50x = 46,371,961,622.25
  5. Step 5: Solve for x
    x = 46,371,961,622.25/99,757.50
  6. Step 6: Final answer
    x = 464,846.87

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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.