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Finding the Third Proportional to 97,780.50 and 235,479.75

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Solution

The third proportional to 97,780.50 and 235,479.75 is: 567,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,780.50 : 235,479.75 = 235,479.75 : x
  2. Step 2: Convert to fraction form
    97,780.50/235,479.75 = 235,479.75/x
  3. Step 3: Cross multiply
    97,780.50x = 235,479.75 × 235,479.75
  4. Step 4: Simplify right side
    97,780.50x = 55,450,712,660.06
  5. Step 5: Solve for x
    x = 55,450,712,660.06/97,780.50
  6. Step 6: Final answer
    x = 567,093.77

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.