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Finding the Third Proportional to 100,197,570.38 and 220,776,867

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Solution

The third proportional to 100,197,570.38 and 220,776,867 is: 486,463,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197,570.38 : 220,776,867 = 220,776,867 : x
  2. Step 2: Convert to fraction form
    100,197,570.38/220,776,867 = 220,776,867/x
  3. Step 3: Cross multiply
    100,197,570.38x = 220,776,867 × 220,776,867
  4. Step 4: Simplify right side
    100,197,570.38x = 48,742,425,002,335,688
  5. Step 5: Solve for x
    x = 48,742,425,002,335,688/100,197,570.38
  6. Step 6: Final answer
    x = 486,463,142.97

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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.