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Finding the Third Proportional to 99,814 and 218,136

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Solution

The third proportional to 99,814 and 218,136 is: 476,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814 : 218,136 = 218,136 : x
  2. Step 2: Convert to fraction form
    99,814/218,136 = 218,136/x
  3. Step 3: Cross multiply
    99,814x = 218,136 × 218,136
  4. Step 4: Simplify right side
    99,814x = 47,583,314,496
  5. Step 5: Solve for x
    x = 47,583,314,496/99,814
  6. Step 6: Final answer
    x = 476,719.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.