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Finding the Third Proportional to 103,698.88 and 164,887.69

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Solution

The third proportional to 103,698.88 and 164,887.69 is: 262,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.88 : 164,887.69 = 164,887.69 : x
  2. Step 2: Convert to fraction form
    103,698.88/164,887.69 = 164,887.69/x
  3. Step 3: Cross multiply
    103,698.88x = 164,887.69 × 164,887.69
  4. Step 4: Simplify right side
    103,698.88x = 27,187,949,489.10
  5. Step 5: Solve for x
    x = 27,187,949,489.10/103,698.88
  6. Step 6: Final answer
    x = 262,181.72

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.