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Finding the Third Proportional to 99,136,072 and 214,741,712

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Solution

The third proportional to 99,136,072 and 214,741,712 is: 465,158,664.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,136,072 : 214,741,712 = 214,741,712 : x
  2. Step 2: Convert to fraction form
    99,136,072/214,741,712 = 214,741,712/x
  3. Step 3: Cross multiply
    99,136,072x = 214,741,712 × 214,741,712
  4. Step 4: Simplify right side
    99,136,072x = 46,114,002,872,690,944
  5. Step 5: Solve for x
    x = 46,114,002,872,690,944/99,136,072
  6. Step 6: Final answer
    x = 465,158,664.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.