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Finding the Third Proportional to 106,188.50 and 232,069

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Solution

The third proportional to 106,188.50 and 232,069 is: 507,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,188.50 : 232,069 = 232,069 : x
  2. Step 2: Convert to fraction form
    106,188.50/232,069 = 232,069/x
  3. Step 3: Cross multiply
    106,188.50x = 232,069 × 232,069
  4. Step 4: Simplify right side
    106,188.50x = 53,856,020,761
  5. Step 5: Solve for x
    x = 53,856,020,761/106,188.50
  6. Step 6: Final answer
    x = 507,173.76

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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.