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Finding the Third Proportional to 119,257,029 and 179,011,768.50

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Solution

The third proportional to 119,257,029 and 179,011,768.50 is: 268,707,123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,257,029 : 179,011,768.50 = 179,011,768.50 : x
  2. Step 2: Convert to fraction form
    119,257,029/179,011,768.50 = 179,011,768.50/x
  3. Step 3: Cross multiply
    119,257,029x = 179,011,768.50 × 179,011,768.50
  4. Step 4: Simplify right side
    119,257,029x = 32,045,213,261,497,592
  5. Step 5: Solve for x
    x = 32,045,213,261,497,592/119,257,029
  6. Step 6: Final answer
    x = 268,707,123.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.