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Finding the Third Proportional to 104,976,765 and 229,055,706

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Solution

The third proportional to 104,976,765 and 229,055,706 is: 499,791,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,976,765 : 229,055,706 = 229,055,706 : x
  2. Step 2: Convert to fraction form
    104,976,765/229,055,706 = 229,055,706/x
  3. Step 3: Cross multiply
    104,976,765x = 229,055,706 × 229,055,706
  4. Step 4: Simplify right side
    104,976,765x = 52,466,516,451,158,432
  5. Step 5: Solve for x
    x = 52,466,516,451,158,432/104,976,765
  6. Step 6: Final answer
    x = 499,791,705.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.