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Finding the Third Proportional to 91,746 and 193,455

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Solution

The third proportional to 91,746 and 193,455 is: 407,917.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,746 : 193,455 = 193,455 : x
  2. Step 2: Convert to fraction form
    91,746/193,455 = 193,455/x
  3. Step 3: Cross multiply
    91,746x = 193,455 × 193,455
  4. Step 4: Simplify right side
    91,746x = 37,424,837,025
  5. Step 5: Solve for x
    x = 37,424,837,025/91,746
  6. Step 6: Final answer
    x = 407,917.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.