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Finding the Third Proportional to 102,054.94 and 218,872.13

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Solution

The third proportional to 102,054.94 and 218,872.13 is: 469,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,054.94 : 218,872.13 = 218,872.13 : x
  2. Step 2: Convert to fraction form
    102,054.94/218,872.13 = 218,872.13/x
  3. Step 3: Cross multiply
    102,054.94x = 218,872.13 × 218,872.13
  4. Step 4: Simplify right side
    102,054.94x = 47,905,007,102.02
  5. Step 5: Solve for x
    x = 47,905,007,102.02/102,054.94
  6. Step 6: Final answer
    x = 469,404.11

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Why These Related Problems?

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