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Finding the Third Proportional to 234,499,722 and 312,630,709.50

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Solution

The third proportional to 234,499,722 and 312,630,709.50 is: 416,793,502.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,499,722 : 312,630,709.50 = 312,630,709.50 : x
  2. Step 2: Convert to fraction form
    234,499,722/312,630,709.50 = 312,630,709.50/x
  3. Step 3: Cross multiply
    234,499,722x = 312,630,709.50 × 312,630,709.50
  4. Step 4: Simplify right side
    234,499,722x = 97,737,960,522,473,392
  5. Step 5: Solve for x
    x = 97,737,960,522,473,392/234,499,722
  6. Step 6: Final answer
    x = 416,793,502.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.