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Finding the Third Proportional to 91,541 and 197,888

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Solution

The third proportional to 91,541 and 197,888 is: 427,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,541 : 197,888 = 197,888 : x
  2. Step 2: Convert to fraction form
    91,541/197,888 = 197,888/x
  3. Step 3: Cross multiply
    91,541x = 197,888 × 197,888
  4. Step 4: Simplify right side
    91,541x = 39,159,660,544
  5. Step 5: Solve for x
    x = 39,159,660,544/91,541
  6. Step 6: Final answer
    x = 427,782.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.