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Finding the Third Proportional to 96,320.39 and 153,398.81

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Solution

The third proportional to 96,320.39 and 153,398.81 is: 244,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,320.39 : 153,398.81 = 153,398.81 : x
  2. Step 2: Convert to fraction form
    96,320.39/153,398.81 = 153,398.81/x
  3. Step 3: Cross multiply
    96,320.39x = 153,398.81 × 153,398.81
  4. Step 4: Simplify right side
    96,320.39x = 23,531,195,676.41
  5. Step 5: Solve for x
    x = 23,531,195,676.41/96,320.39
  6. Step 6: Final answer
    x = 244,301.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.