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Finding the Third Proportional to 155,883,163.50 and 217,933,848.84

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Solution

The third proportional to 155,883,163.50 and 217,933,848.84 is: 304,684,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,883,163.50 : 217,933,848.84 = 217,933,848.84 : x
  2. Step 2: Convert to fraction form
    155,883,163.50/217,933,848.84 = 217,933,848.84/x
  3. Step 3: Cross multiply
    155,883,163.50x = 217,933,848.84 × 217,933,848.84
  4. Step 4: Simplify right side
    155,883,163.50x = 47,495,162,471,850,472
  5. Step 5: Solve for x
    x = 47,495,162,471,850,472/155,883,163.50
  6. Step 6: Final answer
    x = 304,684,363.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.