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Finding the Third Proportional to 98,149,594 and 206,452,652

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Solution

The third proportional to 98,149,594 and 206,452,652 is: 434,262,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,149,594 : 206,452,652 = 206,452,652 : x
  2. Step 2: Convert to fraction form
    98,149,594/206,452,652 = 206,452,652/x
  3. Step 3: Cross multiply
    98,149,594x = 206,452,652 × 206,452,652
  4. Step 4: Simplify right side
    98,149,594x = 42,622,697,517,833,104
  5. Step 5: Solve for x
    x = 42,622,697,517,833,104/98,149,594
  6. Step 6: Final answer
    x = 434,262,596.32

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