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Finding the Third Proportional to 92,278.50 and 201,232

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Solution

The third proportional to 92,278.50 and 201,232 is: 438,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,278.50 : 201,232 = 201,232 : x
  2. Step 2: Convert to fraction form
    92,278.50/201,232 = 201,232/x
  3. Step 3: Cross multiply
    92,278.50x = 201,232 × 201,232
  4. Step 4: Simplify right side
    92,278.50x = 40,494,317,824
  5. Step 5: Solve for x
    x = 40,494,317,824/92,278.50
  6. Step 6: Final answer
    x = 438,827.22

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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.