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Finding the Third Proportional to 109,790,829 and 236,587,041

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Solution

The third proportional to 109,790,829 and 236,587,041 is: 509,818,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,790,829 : 236,587,041 = 236,587,041 : x
  2. Step 2: Convert to fraction form
    109,790,829/236,587,041 = 236,587,041/x
  3. Step 3: Cross multiply
    109,790,829x = 236,587,041 × 236,587,041
  4. Step 4: Simplify right side
    109,790,829x = 55,973,427,969,135,680
  5. Step 5: Solve for x
    x = 55,973,427,969,135,680/109,790,829
  6. Step 6: Final answer
    x = 509,818,793.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.