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Finding the Third Proportional to 70,947 and 155,215.50

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Solution

The third proportional to 70,947 and 155,215.50 is: 339,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947 : 155,215.50 = 155,215.50 : x
  2. Step 2: Convert to fraction form
    70,947/155,215.50 = 155,215.50/x
  3. Step 3: Cross multiply
    70,947x = 155,215.50 × 155,215.50
  4. Step 4: Simplify right side
    70,947x = 24,091,851,440.25
  5. Step 5: Solve for x
    x = 24,091,851,440.25/70,947
  6. Step 6: Final answer
    x = 339,575.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.