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Finding the Third Proportional to 47,458 and 97,284

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Solution

The third proportional to 47,458 and 97,284 is: 199,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,458 : 97,284 = 97,284 : x
  2. Step 2: Convert to fraction form
    47,458/97,284 = 97,284/x
  3. Step 3: Cross multiply
    47,458x = 97,284 × 97,284
  4. Step 4: Simplify right side
    47,458x = 9,464,176,656
  5. Step 5: Solve for x
    x = 9,464,176,656/47,458
  6. Step 6: Final answer
    x = 199,422.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.