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Finding the Third Proportional to 99,692.25 and 215,037.75

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Solution

The third proportional to 99,692.25 and 215,037.75 is: 463,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,692.25 : 215,037.75 = 215,037.75 : x
  2. Step 2: Convert to fraction form
    99,692.25/215,037.75 = 215,037.75/x
  3. Step 3: Cross multiply
    99,692.25x = 215,037.75 × 215,037.75
  4. Step 4: Simplify right side
    99,692.25x = 46,241,233,925.06
  5. Step 5: Solve for x
    x = 46,241,233,925.06/99,692.25
  6. Step 6: Final answer
    x = 463,839.81

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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.