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Finding the Third Proportional to 86,943 and 183,225.50

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Solution

The third proportional to 86,943 and 183,225.50 is: 386,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,943 : 183,225.50 = 183,225.50 : x
  2. Step 2: Convert to fraction form
    86,943/183,225.50 = 183,225.50/x
  3. Step 3: Cross multiply
    86,943x = 183,225.50 × 183,225.50
  4. Step 4: Simplify right side
    86,943x = 33,571,583,850.25
  5. Step 5: Solve for x
    x = 33,571,583,850.25/86,943
  6. Step 6: Final answer
    x = 386,133.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.