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Finding the Third Proportional to 183,002,562 and 402,278,868

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Solution

The third proportional to 183,002,562 and 402,278,868 is: 884,295,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,002,562 : 402,278,868 = 402,278,868 : x
  2. Step 2: Convert to fraction form
    183,002,562/402,278,868 = 402,278,868/x
  3. Step 3: Cross multiply
    183,002,562x = 402,278,868 × 402,278,868
  4. Step 4: Simplify right side
    183,002,562x = 161,828,287,639,361,408
  5. Step 5: Solve for x
    x = 161,828,287,639,361,408/183,002,562
  6. Step 6: Final answer
    x = 884,295,202.60

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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.