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Finding the Third Proportional to 91,010 and 188,292

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Solution

The third proportional to 91,010 and 188,292 is: 389,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,010 : 188,292 = 188,292 : x
  2. Step 2: Convert to fraction form
    91,010/188,292 = 188,292/x
  3. Step 3: Cross multiply
    91,010x = 188,292 × 188,292
  4. Step 4: Simplify right side
    91,010x = 35,453,877,264
  5. Step 5: Solve for x
    x = 35,453,877,264/91,010
  6. Step 6: Final answer
    x = 389,560.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.