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Finding the Third Proportional to 92,569.50 and 201,864.38

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Solution

The third proportional to 92,569.50 and 201,864.38 is: 440,201.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,569.50 : 201,864.38 = 201,864.38 : x
  2. Step 2: Convert to fraction form
    92,569.50/201,864.38 = 201,864.38/x
  3. Step 3: Cross multiply
    92,569.50x = 201,864.38 × 201,864.38
  4. Step 4: Simplify right side
    92,569.50x = 40,749,225,894.14
  5. Step 5: Solve for x
    x = 40,749,225,894.14/92,569.50
  6. Step 6: Final answer
    x = 440,201.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.