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Finding the Third Proportional to 92,106 and 197,278

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Solution

The third proportional to 92,106 and 197,278 is: 422,541.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,106 : 197,278 = 197,278 : x
  2. Step 2: Convert to fraction form
    92,106/197,278 = 197,278/x
  3. Step 3: Cross multiply
    92,106x = 197,278 × 197,278
  4. Step 4: Simplify right side
    92,106x = 38,918,609,284
  5. Step 5: Solve for x
    x = 38,918,609,284/92,106
  6. Step 6: Final answer
    x = 422,541.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.