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Finding the Third Proportional to 105,101.93 and 163,190.32

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Solution

The third proportional to 105,101.93 and 163,190.32 is: 253,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,101.93 : 163,190.32 = 163,190.32 : x
  2. Step 2: Convert to fraction form
    105,101.93/163,190.32 = 163,190.32/x
  3. Step 3: Cross multiply
    105,101.93x = 163,190.32 × 163,190.32
  4. Step 4: Simplify right side
    105,101.93x = 26,631,080,643.70
  5. Step 5: Solve for x
    x = 26,631,080,643.70/105,101.93
  6. Step 6: Final answer
    x = 253,383.37

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