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Finding the Third Proportional to 92,264.06 and 201,614.06

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Solution

The third proportional to 92,264.06 and 201,614.06 is: 440,564.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,264.06 : 201,614.06 = 201,614.06 : x
  2. Step 2: Convert to fraction form
    92,264.06/201,614.06 = 201,614.06/x
  3. Step 3: Cross multiply
    92,264.06x = 201,614.06 × 201,614.06
  4. Step 4: Simplify right side
    92,264.06x = 40,648,230,197.75
  5. Step 5: Solve for x
    x = 40,648,230,197.75/92,264.06
  6. Step 6: Final answer
    x = 440,564.06

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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.