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Finding the Third Proportional to 91,046 and 185,705.50

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Solution

The third proportional to 91,046 and 185,705.50 is: 378,781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,046 : 185,705.50 = 185,705.50 : x
  2. Step 2: Convert to fraction form
    91,046/185,705.50 = 185,705.50/x
  3. Step 3: Cross multiply
    91,046x = 185,705.50 × 185,705.50
  4. Step 4: Simplify right side
    91,046x = 34,486,532,730.25
  5. Step 5: Solve for x
    x = 34,486,532,730.25/91,046
  6. Step 6: Final answer
    x = 378,781.42

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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.