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Finding the Third Proportional to 92,484 and 196,488

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Solution

The third proportional to 92,484 and 196,488 is: 417,450.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,484 : 196,488 = 196,488 : x
  2. Step 2: Convert to fraction form
    92,484/196,488 = 196,488/x
  3. Step 3: Cross multiply
    92,484x = 196,488 × 196,488
  4. Step 4: Simplify right side
    92,484x = 38,607,534,144
  5. Step 5: Solve for x
    x = 38,607,534,144/92,484
  6. Step 6: Final answer
    x = 417,450.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.