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Finding the Third Proportional to 96,196 and 205,460

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Solution

The third proportional to 96,196 and 205,460 is: 438,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,196 : 205,460 = 205,460 : x
  2. Step 2: Convert to fraction form
    96,196/205,460 = 205,460/x
  3. Step 3: Cross multiply
    96,196x = 205,460 × 205,460
  4. Step 4: Simplify right side
    96,196x = 42,213,811,600
  5. Step 5: Solve for x
    x = 42,213,811,600/96,196
  6. Step 6: Final answer
    x = 438,831.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.