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Finding the Third Proportional to 99,011.81 and 212,950.69

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Solution

The third proportional to 99,011.81 and 212,950.69 is: 458,005.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,011.81 : 212,950.69 = 212,950.69 : x
  2. Step 2: Convert to fraction form
    99,011.81/212,950.69 = 212,950.69/x
  3. Step 3: Cross multiply
    99,011.81x = 212,950.69 × 212,950.69
  4. Step 4: Simplify right side
    99,011.81x = 45,347,995,306.72
  5. Step 5: Solve for x
    x = 45,347,995,306.72/99,011.81
  6. Step 6: Final answer
    x = 458,005.91

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.