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Finding the Third Proportional to 124,280,381 and 186,420,504

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Solution

The third proportional to 124,280,381 and 186,420,504 is: 279,630,654.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,280,381 : 186,420,504 = 186,420,504 : x
  2. Step 2: Convert to fraction form
    124,280,381/186,420,504 = 186,420,504/x
  3. Step 3: Cross multiply
    124,280,381x = 186,420,504 × 186,420,504
  4. Step 4: Simplify right side
    124,280,381x = 34,752,604,311,614,016
  5. Step 5: Solve for x
    x = 34,752,604,311,614,016/124,280,381
  6. Step 6: Final answer
    x = 279,630,654.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.