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Finding the Third Proportional to 96,460 and 209,018

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Solution

The third proportional to 96,460 and 209,018 is: 452,918.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,460 : 209,018 = 209,018 : x
  2. Step 2: Convert to fraction form
    96,460/209,018 = 209,018/x
  3. Step 3: Cross multiply
    96,460x = 209,018 × 209,018
  4. Step 4: Simplify right side
    96,460x = 43,688,524,324
  5. Step 5: Solve for x
    x = 43,688,524,324/96,460
  6. Step 6: Final answer
    x = 452,918.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.