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Finding the Third Proportional to 90,260 and 195,828.50

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Solution

The third proportional to 90,260 and 195,828.50 is: 424,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,260 : 195,828.50 = 195,828.50 : x
  2. Step 2: Convert to fraction form
    90,260/195,828.50 = 195,828.50/x
  3. Step 3: Cross multiply
    90,260x = 195,828.50 × 195,828.50
  4. Step 4: Simplify right side
    90,260x = 38,348,801,412.25
  5. Step 5: Solve for x
    x = 38,348,801,412.25/90,260
  6. Step 6: Final answer
    x = 424,870.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.