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Finding the Third Proportional to 105,100.88 and 163,187.44

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Solution

The third proportional to 105,100.88 and 163,187.44 is: 253,376.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,100.88 : 163,187.44 = 163,187.44 : x
  2. Step 2: Convert to fraction form
    105,100.88/163,187.44 = 163,187.44/x
  3. Step 3: Cross multiply
    105,100.88x = 163,187.44 × 163,187.44
  4. Step 4: Simplify right side
    105,100.88x = 26,630,139,757.82
  5. Step 5: Solve for x
    x = 26,630,139,757.82/105,100.88
  6. Step 6: Final answer
    x = 253,376.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.