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Finding the Third Proportional to 90,784,734 and 188,029,251.50

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Solution

The third proportional to 90,784,734 and 188,029,251.50 is: 389,437,715.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,734 : 188,029,251.50 = 188,029,251.50 : x
  2. Step 2: Convert to fraction form
    90,784,734/188,029,251.50 = 188,029,251.50/x
  3. Step 3: Cross multiply
    90,784,734x = 188,029,251.50 × 188,029,251.50
  4. Step 4: Simplify right side
    90,784,734x = 35,354,999,419,650,252
  5. Step 5: Solve for x
    x = 35,354,999,419,650,252/90,784,734
  6. Step 6: Final answer
    x = 389,437,715.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.