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Finding the Third Proportional to 95,301 and 207,201.94

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Solution

The third proportional to 95,301 and 207,201.94 is: 450,495.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,301 : 207,201.94 = 207,201.94 : x
  2. Step 2: Convert to fraction form
    95,301/207,201.94 = 207,201.94/x
  3. Step 3: Cross multiply
    95,301x = 207,201.94 × 207,201.94
  4. Step 4: Simplify right side
    95,301x = 42,932,642,903.75
  5. Step 5: Solve for x
    x = 42,932,642,903.75/95,301
  6. Step 6: Final answer
    x = 450,495.20

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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.