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Finding the Third Proportional to 45,698 and 97,216

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Solution

The third proportional to 45,698 and 97,216 is: 206,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,698 : 97,216 = 97,216 : x
  2. Step 2: Convert to fraction form
    45,698/97,216 = 97,216/x
  3. Step 3: Cross multiply
    45,698x = 97,216 × 97,216
  4. Step 4: Simplify right side
    45,698x = 9,450,950,656
  5. Step 5: Solve for x
    x = 9,450,950,656/45,698
  6. Step 6: Final answer
    x = 206,813.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.