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Finding the Third Proportional to 99,470,614 and 214,057,777

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Solution

The third proportional to 99,470,614 and 214,057,777 is: 460,645,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,470,614 : 214,057,777 = 214,057,777 : x
  2. Step 2: Convert to fraction form
    99,470,614/214,057,777 = 214,057,777/x
  3. Step 3: Cross multiply
    99,470,614x = 214,057,777 × 214,057,777
  4. Step 4: Simplify right side
    99,470,614x = 45,820,731,894,181,728
  5. Step 5: Solve for x
    x = 45,820,731,894,181,728/99,470,614
  6. Step 6: Final answer
    x = 460,645,913.92

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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.