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Finding the Third Proportional to 154,310,215.50 and 235,082,947.50

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Solution

The third proportional to 154,310,215.50 and 235,082,947.50 is: 358,135,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,310,215.50 : 235,082,947.50 = 235,082,947.50 : x
  2. Step 2: Convert to fraction form
    154,310,215.50/235,082,947.50 = 235,082,947.50/x
  3. Step 3: Cross multiply
    154,310,215.50x = 235,082,947.50 × 235,082,947.50
  4. Step 4: Simplify right side
    154,310,215.50x = 55,263,992,205,287,760
  5. Step 5: Solve for x
    x = 55,263,992,205,287,760/154,310,215.50
  6. Step 6: Final answer
    x = 358,135,668.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.