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Finding the Third Proportional to 99,036 and 216,134

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Solution

The third proportional to 99,036 and 216,134 is: 471,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036 : 216,134 = 216,134 : x
  2. Step 2: Convert to fraction form
    99,036/216,134 = 216,134/x
  3. Step 3: Cross multiply
    99,036x = 216,134 × 216,134
  4. Step 4: Simplify right side
    99,036x = 46,713,905,956
  5. Step 5: Solve for x
    x = 46,713,905,956/99,036
  6. Step 6: Final answer
    x = 471,686.11

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Why These Related Problems?

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