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Finding the Third Proportional to 97,868 and 215,968

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Solution

The third proportional to 97,868 and 215,968 is: 476,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,868 : 215,968 = 215,968 : x
  2. Step 2: Convert to fraction form
    97,868/215,968 = 215,968/x
  3. Step 3: Cross multiply
    97,868x = 215,968 × 215,968
  4. Step 4: Simplify right side
    97,868x = 46,642,177,024
  5. Step 5: Solve for x
    x = 46,642,177,024/97,868
  6. Step 6: Final answer
    x = 476,582.51

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.