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Finding the Third Proportional to 86,837 and 190,315

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Solution

The third proportional to 86,837 and 190,315 is: 417,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,837 : 190,315 = 190,315 : x
  2. Step 2: Convert to fraction form
    86,837/190,315 = 190,315/x
  3. Step 3: Cross multiply
    86,837x = 190,315 × 190,315
  4. Step 4: Simplify right side
    86,837x = 36,219,799,225
  5. Step 5: Solve for x
    x = 36,219,799,225/86,837
  6. Step 6: Final answer
    x = 417,101.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.