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Finding the Third Proportional to 120,992,912 and 185,974,776

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Solution

The third proportional to 120,992,912 and 185,974,776 is: 285,856,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,992,912 : 185,974,776 = 185,974,776 : x
  2. Step 2: Convert to fraction form
    120,992,912/185,974,776 = 185,974,776/x
  3. Step 3: Cross multiply
    120,992,912x = 185,974,776 × 185,974,776
  4. Step 4: Simplify right side
    120,992,912x = 34,586,617,308,250,176
  5. Step 5: Solve for x
    x = 34,586,617,308,250,176/120,992,912
  6. Step 6: Final answer
    x = 285,856,557.52

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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.