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Finding the Third Proportional to 101,969.13 and 218,700.50

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Solution

The third proportional to 101,969.13 and 218,700.50 is: 469,062.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,969.13 : 218,700.50 = 218,700.50 : x
  2. Step 2: Convert to fraction form
    101,969.13/218,700.50 = 218,700.50/x
  3. Step 3: Cross multiply
    101,969.13x = 218,700.50 × 218,700.50
  4. Step 4: Simplify right side
    101,969.13x = 47,829,908,700.25
  5. Step 5: Solve for x
    x = 47,829,908,700.25/101,969.13
  6. Step 6: Final answer
    x = 469,062.66

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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.