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Finding the Third Proportional to 106,920 and 230,971.50

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Solution

The third proportional to 106,920 and 230,971.50 is: 498,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,920 : 230,971.50 = 230,971.50 : x
  2. Step 2: Convert to fraction form
    106,920/230,971.50 = 230,971.50/x
  3. Step 3: Cross multiply
    106,920x = 230,971.50 × 230,971.50
  4. Step 4: Simplify right side
    106,920x = 53,347,833,812.25
  5. Step 5: Solve for x
    x = 53,347,833,812.25/106,920
  6. Step 6: Final answer
    x = 498,950.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.