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Finding the Third Proportional to 98,149,164.75 and 206,451,841.50

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Solution

The third proportional to 98,149,164.75 and 206,451,841.50 is: 434,261,085.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149,164.75 : 206,451,841.50 = 206,451,841.50 : x
  2. Step 2: Convert to fraction form
    98,149,164.75/206,451,841.50 = 206,451,841.50/x
  3. Step 3: Cross multiply
    98,149,164.75x = 206,451,841.50 × 206,451,841.50
  4. Step 4: Simplify right side
    98,149,164.75x = 42,622,362,858,741,120
  5. Step 5: Solve for x
    x = 42,622,362,858,741,120/98,149,164.75
  6. Step 6: Final answer
    x = 434,261,085.84

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.