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Finding the Third Proportional to 139,099 and 218,440

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Solution

The third proportional to 139,099 and 218,440 is: 343,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,099 : 218,440 = 218,440 : x
  2. Step 2: Convert to fraction form
    139,099/218,440 = 218,440/x
  3. Step 3: Cross multiply
    139,099x = 218,440 × 218,440
  4. Step 4: Simplify right side
    139,099x = 47,716,033,600
  5. Step 5: Solve for x
    x = 47,716,033,600/139,099
  6. Step 6: Final answer
    x = 343,036.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.