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Finding the Third Proportional to 186,420,423 and 279,630,597

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Solution

The third proportional to 186,420,423 and 279,630,597 is: 419,445,839.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,420,423 : 279,630,597 = 279,630,597 : x
  2. Step 2: Convert to fraction form
    186,420,423/279,630,597 = 279,630,597/x
  3. Step 3: Cross multiply
    186,420,423x = 279,630,597 × 279,630,597
  4. Step 4: Simplify right side
    186,420,423x = 78,193,270,778,576,416
  5. Step 5: Solve for x
    x = 78,193,270,778,576,416/186,420,423
  6. Step 6: Final answer
    x = 419,445,839.25

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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.