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Finding the Third Proportional to 99,925.88 and 214,101.56

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Solution

The third proportional to 99,925.88 and 214,101.56 is: 458,734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,925.88 : 214,101.56 = 214,101.56 : x
  2. Step 2: Convert to fraction form
    99,925.88/214,101.56 = 214,101.56/x
  3. Step 3: Cross multiply
    99,925.88x = 214,101.56 × 214,101.56
  4. Step 4: Simplify right side
    99,925.88x = 45,839,479,064.94
  5. Step 5: Solve for x
    x = 45,839,479,064.94/99,925.88
  6. Step 6: Final answer
    x = 458,734.83

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.