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Finding the Third Proportional to 92,088 and 201,456

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Solution

The third proportional to 92,088 and 201,456 is: 440,714.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,088 : 201,456 = 201,456 : x
  2. Step 2: Convert to fraction form
    92,088/201,456 = 201,456/x
  3. Step 3: Cross multiply
    92,088x = 201,456 × 201,456
  4. Step 4: Simplify right side
    92,088x = 40,584,519,936
  5. Step 5: Solve for x
    x = 40,584,519,936/92,088
  6. Step 6: Final answer
    x = 440,714.53

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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.