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Finding the Third Proportional to 92,114 and 201,788

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Solution

The third proportional to 92,114 and 201,788 is: 442,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,114 : 201,788 = 201,788 : x
  2. Step 2: Convert to fraction form
    92,114/201,788 = 201,788/x
  3. Step 3: Cross multiply
    92,114x = 201,788 × 201,788
  4. Step 4: Simplify right side
    92,114x = 40,718,396,944
  5. Step 5: Solve for x
    x = 40,718,396,944/92,114
  6. Step 6: Final answer
    x = 442,043.52

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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.