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Finding the Third Proportional to 96,812.51 and 209,708.58

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Solution

The third proportional to 96,812.51 and 209,708.58 is: 454,256.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,812.51 : 209,708.58 = 209,708.58 : x
  2. Step 2: Convert to fraction form
    96,812.51/209,708.58 = 209,708.58/x
  3. Step 3: Cross multiply
    96,812.51x = 209,708.58 × 209,708.58
  4. Step 4: Simplify right side
    96,812.51x = 43,977,687,739.21
  5. Step 5: Solve for x
    x = 43,977,687,739.21/96,812.51
  6. Step 6: Final answer
    x = 454,256.26

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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.