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Finding the Third Proportional to 86,050.41 and 186,401.95

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Solution

The third proportional to 86,050.41 and 186,401.95 is: 403,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,050.41 : 186,401.95 = 186,401.95 : x
  2. Step 2: Convert to fraction form
    86,050.41/186,401.95 = 186,401.95/x
  3. Step 3: Cross multiply
    86,050.41x = 186,401.95 × 186,401.95
  4. Step 4: Simplify right side
    86,050.41x = 34,745,688,128.81
  5. Step 5: Solve for x
    x = 34,745,688,128.81/86,050.41
  6. Step 6: Final answer
    x = 403,782.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.