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Finding the Third Proportional to 90,969 and 191,362.50

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Solution

The third proportional to 90,969 and 191,362.50 is: 402,550.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,969 : 191,362.50 = 191,362.50 : x
  2. Step 2: Convert to fraction form
    90,969/191,362.50 = 191,362.50/x
  3. Step 3: Cross multiply
    90,969x = 191,362.50 × 191,362.50
  4. Step 4: Simplify right side
    90,969x = 36,619,606,406.25
  5. Step 5: Solve for x
    x = 36,619,606,406.25/90,969
  6. Step 6: Final answer
    x = 402,550.39

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.