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Finding the Third Proportional to 154,310,226 and 235,082,977.50

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Solution

The third proportional to 154,310,226 and 235,082,977.50 is: 358,135,735.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,310,226 : 235,082,977.50 = 235,082,977.50 : x
  2. Step 2: Convert to fraction form
    154,310,226/235,082,977.50 = 235,082,977.50/x
  3. Step 3: Cross multiply
    154,310,226x = 235,082,977.50 × 235,082,977.50
  4. Step 4: Simplify right side
    154,310,226x = 55,264,006,310,265,504
  5. Step 5: Solve for x
    x = 55,264,006,310,265,504/154,310,226
  6. Step 6: Final answer
    x = 358,135,735.67

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Why These Related Problems?

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