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Finding the Third Proportional to 120,992,914 and 185,974,779

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Solution

The third proportional to 120,992,914 and 185,974,779 is: 285,856,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992,914 : 185,974,779 = 185,974,779 : x
  2. Step 2: Convert to fraction form
    120,992,914/185,974,779 = 185,974,779/x
  3. Step 3: Cross multiply
    120,992,914x = 185,974,779 × 185,974,779
  4. Step 4: Simplify right side
    120,992,914x = 34,586,618,424,098,840
  5. Step 5: Solve for x
    x = 34,586,618,424,098,840/120,992,914
  6. Step 6: Final answer
    x = 285,856,562.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.