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Finding the Third Proportional to 99,136,073 and 214,741,714

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Solution

The third proportional to 99,136,073 and 214,741,714 is: 465,158,668.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,136,073 : 214,741,714 = 214,741,714 : x
  2. Step 2: Convert to fraction form
    99,136,073/214,741,714 = 214,741,714/x
  3. Step 3: Cross multiply
    99,136,073x = 214,741,714 × 214,741,714
  4. Step 4: Simplify right side
    99,136,073x = 46,114,003,731,657,792
  5. Step 5: Solve for x
    x = 46,114,003,731,657,792/99,136,073
  6. Step 6: Final answer
    x = 465,158,668.65

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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.