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Finding the Third Proportional to 46,207 and 97,244

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Solution

The third proportional to 46,207 and 97,244 is: 204,652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,207 : 97,244 = 97,244 : x
  2. Step 2: Convert to fraction form
    46,207/97,244 = 97,244/x
  3. Step 3: Cross multiply
    46,207x = 97,244 × 97,244
  4. Step 4: Simplify right side
    46,207x = 9,456,395,536
  5. Step 5: Solve for x
    x = 9,456,395,536/46,207
  6. Step 6: Final answer
    x = 204,652.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.