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Finding the Third Proportional to 91,732.50 and 202,088.67

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Solution

The third proportional to 91,732.50 and 202,088.67 is: 445,205.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,732.50 : 202,088.67 = 202,088.67 : x
  2. Step 2: Convert to fraction form
    91,732.50/202,088.67 = 202,088.67/x
  3. Step 3: Cross multiply
    91,732.50x = 202,088.67 × 202,088.67
  4. Step 4: Simplify right side
    91,732.50x = 40,839,831,300.20
  5. Step 5: Solve for x
    x = 40,839,831,300.20/91,732.50
  6. Step 6: Final answer
    x = 445,205.69

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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.