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Finding the Third Proportional to 86,989.50 and 190,791

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Solution

The third proportional to 86,989.50 and 190,791 is: 418,455.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,989.50 : 190,791 = 190,791 : x
  2. Step 2: Convert to fraction form
    86,989.50/190,791 = 190,791/x
  3. Step 3: Cross multiply
    86,989.50x = 190,791 × 190,791
  4. Step 4: Simplify right side
    86,989.50x = 36,401,205,681
  5. Step 5: Solve for x
    x = 36,401,205,681/86,989.50
  6. Step 6: Final answer
    x = 418,455.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.