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Finding the Third Proportional to 39,482,157 and 85,206,847.50

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Solution

The third proportional to 39,482,157 and 85,206,847.50 is: 183,885,770.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,482,157 : 85,206,847.50 = 85,206,847.50 : x
  2. Step 2: Convert to fraction form
    39,482,157/85,206,847.50 = 85,206,847.50/x
  3. Step 3: Cross multiply
    39,482,157x = 85,206,847.50 × 85,206,847.50
  4. Step 4: Simplify right side
    39,482,157x = 7,260,206,860,888,256
  5. Step 5: Solve for x
    x = 7,260,206,860,888,256/39,482,157
  6. Step 6: Final answer
    x = 183,885,770.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.