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Finding the Third Proportional to 124,280,286 and 186,420,404

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Solution

The third proportional to 124,280,286 and 186,420,404 is: 279,630,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,280,286 : 186,420,404 = 186,420,404 : x
  2. Step 2: Convert to fraction form
    124,280,286/186,420,404 = 186,420,404/x
  3. Step 3: Cross multiply
    124,280,286x = 186,420,404 × 186,420,404
  4. Step 4: Simplify right side
    124,280,286x = 34,752,567,027,523,216
  5. Step 5: Solve for x
    x = 34,752,567,027,523,216/124,280,286
  6. Step 6: Final answer
    x = 279,630,568.50

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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.