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Finding the Third Proportional to 99,064.50 and 215,805

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Solution

The third proportional to 99,064.50 and 215,805 is: 470,115.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,064.50 : 215,805 = 215,805 : x
  2. Step 2: Convert to fraction form
    99,064.50/215,805 = 215,805/x
  3. Step 3: Cross multiply
    99,064.50x = 215,805 × 215,805
  4. Step 4: Simplify right side
    99,064.50x = 46,571,798,025
  5. Step 5: Solve for x
    x = 46,571,798,025/99,064.50
  6. Step 6: Final answer
    x = 470,115.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.