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Finding the Third Proportional to 92,295.38 and 201,266.25

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Solution

The third proportional to 92,295.38 and 201,266.25 is: 438,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,295.38 : 201,266.25 = 201,266.25 : x
  2. Step 2: Convert to fraction form
    92,295.38/201,266.25 = 201,266.25/x
  3. Step 3: Cross multiply
    92,295.38x = 201,266.25 × 201,266.25
  4. Step 4: Simplify right side
    92,295.38x = 40,508,103,389.06
  5. Step 5: Solve for x
    x = 40,508,103,389.06/92,295.38
  6. Step 6: Final answer
    x = 438,896.35

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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.