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Finding the Third Proportional to 96,160 and 207,648

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Solution

The third proportional to 96,160 and 207,648 is: 448,395.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,160 : 207,648 = 207,648 : x
  2. Step 2: Convert to fraction form
    96,160/207,648 = 207,648/x
  3. Step 3: Cross multiply
    96,160x = 207,648 × 207,648
  4. Step 4: Simplify right side
    96,160x = 43,117,691,904
  5. Step 5: Solve for x
    x = 43,117,691,904/96,160
  6. Step 6: Final answer
    x = 448,395.30

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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.