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Finding the Third Proportional to 40,211 and 85,943.50

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Solution

The third proportional to 40,211 and 85,943.50 is: 183,688.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,211 : 85,943.50 = 85,943.50 : x
  2. Step 2: Convert to fraction form
    40,211/85,943.50 = 85,943.50/x
  3. Step 3: Cross multiply
    40,211x = 85,943.50 × 85,943.50
  4. Step 4: Simplify right side
    40,211x = 7,386,285,192.25
  5. Step 5: Solve for x
    x = 7,386,285,192.25/40,211
  6. Step 6: Final answer
    x = 183,688.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.