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Finding the Third Proportional to 99,819 and 218,130

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Solution

The third proportional to 99,819 and 218,130 is: 476,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,819 : 218,130 = 218,130 : x
  2. Step 2: Convert to fraction form
    99,819/218,130 = 218,130/x
  3. Step 3: Cross multiply
    99,819x = 218,130 × 218,130
  4. Step 4: Simplify right side
    99,819x = 47,580,696,900
  5. Step 5: Solve for x
    x = 47,580,696,900/99,819
  6. Step 6: Final answer
    x = 476,669.74

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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.