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Finding the Third Proportional to 92,104.59 and 201,743.16

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Solution

The third proportional to 92,104.59 and 201,743.16 is: 441,892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,104.59 : 201,743.16 = 201,743.16 : x
  2. Step 2: Convert to fraction form
    92,104.59/201,743.16 = 201,743.16/x
  3. Step 3: Cross multiply
    92,104.59x = 201,743.16 × 201,743.16
  4. Step 4: Simplify right side
    92,104.59x = 40,700,301,093.71
  5. Step 5: Solve for x
    x = 40,700,301,093.71/92,104.59
  6. Step 6: Final answer
    x = 441,892.19

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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.