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Finding the Third Proportional to 97,203 and 207,888

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Solution

The third proportional to 97,203 and 207,888 is: 444,609.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,203 : 207,888 = 207,888 : x
  2. Step 2: Convert to fraction form
    97,203/207,888 = 207,888/x
  3. Step 3: Cross multiply
    97,203x = 207,888 × 207,888
  4. Step 4: Simplify right side
    97,203x = 43,217,420,544
  5. Step 5: Solve for x
    x = 43,217,420,544/97,203
  6. Step 6: Final answer
    x = 444,609.95

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