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Finding the Third Proportional to 96,602.25 and 210,387

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Solution

The third proportional to 96,602.25 and 210,387 is: 458,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,602.25 : 210,387 = 210,387 : x
  2. Step 2: Convert to fraction form
    96,602.25/210,387 = 210,387/x
  3. Step 3: Cross multiply
    96,602.25x = 210,387 × 210,387
  4. Step 4: Simplify right side
    96,602.25x = 44,262,689,769
  5. Step 5: Solve for x
    x = 44,262,689,769/96,602.25
  6. Step 6: Final answer
    x = 458,195.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.