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Finding the Third Proportional to 91,970.50 and 187,829

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Solution

The third proportional to 91,970.50 and 187,829 is: 383,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,970.50 : 187,829 = 187,829 : x
  2. Step 2: Convert to fraction form
    91,970.50/187,829 = 187,829/x
  3. Step 3: Cross multiply
    91,970.50x = 187,829 × 187,829
  4. Step 4: Simplify right side
    91,970.50x = 35,279,733,241
  5. Step 5: Solve for x
    x = 35,279,733,241/91,970.50
  6. Step 6: Final answer
    x = 383,598.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.