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Finding the Third Proportional to 91,888 and 197,854

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Solution

The third proportional to 91,888 and 197,854 is: 426,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,888 : 197,854 = 197,854 : x
  2. Step 2: Convert to fraction form
    91,888/197,854 = 197,854/x
  3. Step 3: Cross multiply
    91,888x = 197,854 × 197,854
  4. Step 4: Simplify right side
    91,888x = 39,146,205,316
  5. Step 5: Solve for x
    x = 39,146,205,316/91,888
  6. Step 6: Final answer
    x = 426,020.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.