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Finding the Third Proportional to 186,420,425 and 279,630,600

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Solution

The third proportional to 186,420,425 and 279,630,600 is: 419,445,843.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,420,425 : 279,630,600 = 279,630,600 : x
  2. Step 2: Convert to fraction form
    186,420,425/279,630,600 = 279,630,600/x
  3. Step 3: Cross multiply
    186,420,425x = 279,630,600 × 279,630,600
  4. Step 4: Simplify right side
    186,420,425x = 78,193,272,456,360,000
  5. Step 5: Solve for x
    x = 78,193,272,456,360,000/186,420,425
  6. Step 6: Final answer
    x = 419,445,843.75

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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.