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Finding the Third Proportional to 85,011 and 186,798

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Solution

The third proportional to 85,011 and 186,798 is: 410,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,011 : 186,798 = 186,798 : x
  2. Step 2: Convert to fraction form
    85,011/186,798 = 186,798/x
  3. Step 3: Cross multiply
    85,011x = 186,798 × 186,798
  4. Step 4: Simplify right side
    85,011x = 34,893,492,804
  5. Step 5: Solve for x
    x = 34,893,492,804/85,011
  6. Step 6: Final answer
    x = 410,458.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.