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Finding the Third Proportional to 101,948.63 and 218,659.50

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Solution

The third proportional to 101,948.63 and 218,659.50 is: 468,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948.63 : 218,659.50 = 218,659.50 : x
  2. Step 2: Convert to fraction form
    101,948.63/218,659.50 = 218,659.50/x
  3. Step 3: Cross multiply
    101,948.63x = 218,659.50 × 218,659.50
  4. Step 4: Simplify right side
    101,948.63x = 47,811,976,940.25
  5. Step 5: Solve for x
    x = 47,811,976,940.25/101,948.63
  6. Step 6: Final answer
    x = 468,981.09

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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.