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Finding the Third Proportional to 132,861,234 and 289,898,658

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Solution

The third proportional to 132,861,234 and 289,898,658 is: 632,548,933.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,861,234 : 289,898,658 = 289,898,658 : x
  2. Step 2: Convert to fraction form
    132,861,234/289,898,658 = 289,898,658/x
  3. Step 3: Cross multiply
    132,861,234x = 289,898,658 × 289,898,658
  4. Step 4: Simplify right side
    132,861,234x = 84,041,231,910,200,960
  5. Step 5: Solve for x
    x = 84,041,231,910,200,960/132,861,234
  6. Step 6: Final answer
    x = 632,548,933.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.