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Finding the Third Proportional to 87,106 and 190,817

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Solution

The third proportional to 87,106 and 190,817 is: 418,009.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,106 : 190,817 = 190,817 : x
  2. Step 2: Convert to fraction form
    87,106/190,817 = 190,817/x
  3. Step 3: Cross multiply
    87,106x = 190,817 × 190,817
  4. Step 4: Simplify right side
    87,106x = 36,411,127,489
  5. Step 5: Solve for x
    x = 36,411,127,489/87,106
  6. Step 6: Final answer
    x = 418,009.41

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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.