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Finding the Third Proportional to 120,947,437 and 186,767,966

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Solution

The third proportional to 120,947,437 and 186,767,966 is: 288,408,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,947,437 : 186,767,966 = 186,767,966 : x
  2. Step 2: Convert to fraction form
    120,947,437/186,767,966 = 186,767,966/x
  3. Step 3: Cross multiply
    120,947,437x = 186,767,966 × 186,767,966
  4. Step 4: Simplify right side
    120,947,437x = 34,882,273,123,777,156
  5. Step 5: Solve for x
    x = 34,882,273,123,777,156/120,947,437
  6. Step 6: Final answer
    x = 288,408,535.05

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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.