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Finding the Third Proportional to 96,130.97 and 210,714.75

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Solution

The third proportional to 96,130.97 and 210,714.75 is: 461,877.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,130.97 : 210,714.75 = 210,714.75 : x
  2. Step 2: Convert to fraction form
    96,130.97/210,714.75 = 210,714.75/x
  3. Step 3: Cross multiply
    96,130.97x = 210,714.75 × 210,714.75
  4. Step 4: Simplify right side
    96,130.97x = 44,400,705,867.56
  5. Step 5: Solve for x
    x = 44,400,705,867.56/96,130.97
  6. Step 6: Final answer
    x = 461,877.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.