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Finding the Third Proportional to 97,864 and 150,683

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Solution

The third proportional to 97,864 and 150,683 is: 232,009.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,864 : 150,683 = 150,683 : x
  2. Step 2: Convert to fraction form
    97,864/150,683 = 150,683/x
  3. Step 3: Cross multiply
    97,864x = 150,683 × 150,683
  4. Step 4: Simplify right side
    97,864x = 22,705,366,489
  5. Step 5: Solve for x
    x = 22,705,366,489/97,864
  6. Step 6: Final answer
    x = 232,009.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.