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Finding the Third Proportional to 120,947,434.50 and 186,767,963.25

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Solution

The third proportional to 120,947,434.50 and 186,767,963.25 is: 288,408,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,947,434.50 : 186,767,963.25 = 186,767,963.25 : x
  2. Step 2: Convert to fraction form
    120,947,434.50/186,767,963.25 = 186,767,963.25/x
  3. Step 3: Cross multiply
    120,947,434.50x = 186,767,963.25 × 186,767,963.25
  4. Step 4: Simplify right side
    120,947,434.50x = 34,882,272,096,553,352
  5. Step 5: Solve for x
    x = 34,882,272,096,553,352/120,947,434.50
  6. Step 6: Final answer
    x = 288,408,532.52

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