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Finding the Third Proportional to 91,048 and 197,648

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Solution

The third proportional to 91,048 and 197,648 is: 429,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,048 : 197,648 = 197,648 : x
  2. Step 2: Convert to fraction form
    91,048/197,648 = 197,648/x
  3. Step 3: Cross multiply
    91,048x = 197,648 × 197,648
  4. Step 4: Simplify right side
    91,048x = 39,064,731,904
  5. Step 5: Solve for x
    x = 39,064,731,904/91,048
  6. Step 6: Final answer
    x = 429,056.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.