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Finding the Third Proportional to 92,186 and 201,057.50

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Solution

The third proportional to 92,186 and 201,057.50 is: 438,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,186 : 201,057.50 = 201,057.50 : x
  2. Step 2: Convert to fraction form
    92,186/201,057.50 = 201,057.50/x
  3. Step 3: Cross multiply
    92,186x = 201,057.50 × 201,057.50
  4. Step 4: Simplify right side
    92,186x = 40,424,118,306.25
  5. Step 5: Solve for x
    x = 40,424,118,306.25/92,186
  6. Step 6: Final answer
    x = 438,506.05

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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.