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Finding the Third Proportional to 101,801.81 and 223,543.13

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Solution

The third proportional to 101,801.81 and 223,543.13 is: 490,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.81 : 223,543.13 = 223,543.13 : x
  2. Step 2: Convert to fraction form
    101,801.81/223,543.13 = 223,543.13/x
  3. Step 3: Cross multiply
    101,801.81x = 223,543.13 × 223,543.13
  4. Step 4: Simplify right side
    101,801.81x = 49,971,528,734.77
  5. Step 5: Solve for x
    x = 49,971,528,734.77/101,801.81
  6. Step 6: Final answer
    x = 490,870.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.