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Finding the Third Proportional to 46,931 and 97,189

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Solution

The third proportional to 46,931 and 97,189 is: 201,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,931 : 97,189 = 97,189 : x
  2. Step 2: Convert to fraction form
    46,931/97,189 = 97,189/x
  3. Step 3: Cross multiply
    46,931x = 97,189 × 97,189
  4. Step 4: Simplify right side
    46,931x = 9,445,701,721
  5. Step 5: Solve for x
    x = 9,445,701,721/46,931
  6. Step 6: Final answer
    x = 201,267.86

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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.