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Finding the Third Proportional to 95,407 and 207,216

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Solution

The third proportional to 95,407 and 207,216 is: 450,055.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,407 : 207,216 = 207,216 : x
  2. Step 2: Convert to fraction form
    95,407/207,216 = 207,216/x
  3. Step 3: Cross multiply
    95,407x = 207,216 × 207,216
  4. Step 4: Simplify right side
    95,407x = 42,938,470,656
  5. Step 5: Solve for x
    x = 42,938,470,656/95,407
  6. Step 6: Final answer
    x = 450,055.77

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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.