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Finding the Third Proportional to 46,965 and 97,218

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Solution

The third proportional to 46,965 and 97,218 is: 201,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,965 : 97,218 = 97,218 : x
  2. Step 2: Convert to fraction form
    46,965/97,218 = 97,218/x
  3. Step 3: Cross multiply
    46,965x = 97,218 × 97,218
  4. Step 4: Simplify right side
    46,965x = 9,451,339,524
  5. Step 5: Solve for x
    x = 9,451,339,524/46,965
  6. Step 6: Final answer
    x = 201,242.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.