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Finding the Third Proportional to 91,731 and 201,502.50

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Solution

The third proportional to 91,731 and 201,502.50 is: 442,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,731 : 201,502.50 = 201,502.50 : x
  2. Step 2: Convert to fraction form
    91,731/201,502.50 = 201,502.50/x
  3. Step 3: Cross multiply
    91,731x = 201,502.50 × 201,502.50
  4. Step 4: Simplify right side
    91,731x = 40,603,257,506.25
  5. Step 5: Solve for x
    x = 40,603,257,506.25/91,731
  6. Step 6: Final answer
    x = 442,633.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.