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Finding the Third Proportional to 165,478,812 and 266,630,436

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Solution

The third proportional to 165,478,812 and 266,630,436 is: 429,612,640.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,478,812 : 266,630,436 = 266,630,436 : x
  2. Step 2: Convert to fraction form
    165,478,812/266,630,436 = 266,630,436/x
  3. Step 3: Cross multiply
    165,478,812x = 266,630,436 × 266,630,436
  4. Step 4: Simplify right side
    165,478,812x = 71,091,789,401,550,096
  5. Step 5: Solve for x
    x = 71,091,789,401,550,096/165,478,812
  6. Step 6: Final answer
    x = 429,612,640.69

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.