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Finding the Third Proportional to 100,022.50 and 216,994.50

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Solution

The third proportional to 100,022.50 and 216,994.50 is: 470,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,022.50 : 216,994.50 = 216,994.50 : x
  2. Step 2: Convert to fraction form
    100,022.50/216,994.50 = 216,994.50/x
  3. Step 3: Cross multiply
    100,022.50x = 216,994.50 × 216,994.50
  4. Step 4: Simplify right side
    100,022.50x = 47,086,613,030.25
  5. Step 5: Solve for x
    x = 47,086,613,030.25/100,022.50
  6. Step 6: Final answer
    x = 470,760.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.