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Finding the Third Proportional to 105,106.88 and 246,754.88

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Solution

The third proportional to 105,106.88 and 246,754.88 is: 579,295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,106.88 : 246,754.88 = 246,754.88 : x
  2. Step 2: Convert to fraction form
    105,106.88/246,754.88 = 246,754.88/x
  3. Step 3: Cross multiply
    105,106.88x = 246,754.88 × 246,754.88
  4. Step 4: Simplify right side
    105,106.88x = 60,887,968,336.27
  5. Step 5: Solve for x
    x = 60,887,968,336.27/105,106.88
  6. Step 6: Final answer
    x = 579,295.77

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.