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Finding the Third Proportional to 99,486,542 and 214,089,676

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Solution

The third proportional to 99,486,542 and 214,089,676 is: 460,709,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,486,542 : 214,089,676 = 214,089,676 : x
  2. Step 2: Convert to fraction form
    99,486,542/214,089,676 = 214,089,676/x
  3. Step 3: Cross multiply
    99,486,542x = 214,089,676 × 214,089,676
  4. Step 4: Simplify right side
    99,486,542x = 45,834,389,369,784,976
  5. Step 5: Solve for x
    x = 45,834,389,369,784,976/99,486,542
  6. Step 6: Final answer
    x = 460,709,443.19

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Why These Related Problems?

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