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Finding the Third Proportional to 92,347 and 197,815

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Solution

The third proportional to 92,347 and 197,815 is: 423,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,347 : 197,815 = 197,815 : x
  2. Step 2: Convert to fraction form
    92,347/197,815 = 197,815/x
  3. Step 3: Cross multiply
    92,347x = 197,815 × 197,815
  4. Step 4: Simplify right side
    92,347x = 39,130,774,225
  5. Step 5: Solve for x
    x = 39,130,774,225/92,347
  6. Step 6: Final answer
    x = 423,736.28

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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.