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Finding the Third Proportional to 88,780 and 190,736

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Solution

The third proportional to 88,780 and 190,736 is: 409,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,780 : 190,736 = 190,736 : x
  2. Step 2: Convert to fraction form
    88,780/190,736 = 190,736/x
  3. Step 3: Cross multiply
    88,780x = 190,736 × 190,736
  4. Step 4: Simplify right side
    88,780x = 36,380,221,696
  5. Step 5: Solve for x
    x = 36,380,221,696/88,780
  6. Step 6: Final answer
    x = 409,779.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.