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Finding the Third Proportional to 101,864,399 and 220,954,943

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Solution

The third proportional to 101,864,399 and 220,954,943 is: 479,275,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,864,399 : 220,954,943 = 220,954,943 : x
  2. Step 2: Convert to fraction form
    101,864,399/220,954,943 = 220,954,943/x
  3. Step 3: Cross multiply
    101,864,399x = 220,954,943 × 220,954,943
  4. Step 4: Simplify right side
    101,864,399x = 48,821,086,836,133,248
  5. Step 5: Solve for x
    x = 48,821,086,836,133,248/101,864,399
  6. Step 6: Final answer
    x = 479,275,265.11

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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.