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Finding the Third Proportional to 99,486,540 and 214,089,672

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Solution

The third proportional to 99,486,540 and 214,089,672 is: 460,709,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486,540 : 214,089,672 = 214,089,672 : x
  2. Step 2: Convert to fraction form
    99,486,540/214,089,672 = 214,089,672/x
  3. Step 3: Cross multiply
    99,486,540x = 214,089,672 × 214,089,672
  4. Step 4: Simplify right side
    99,486,540x = 45,834,387,657,067,584
  5. Step 5: Solve for x
    x = 45,834,387,657,067,584/99,486,540
  6. Step 6: Final answer
    x = 460,709,435.24

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.