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Finding the Third Proportional to 145,704,319.50 and 297,261,568

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Solution

The third proportional to 145,704,319.50 and 297,261,568 is: 606,464,105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,704,319.50 : 297,261,568 = 297,261,568 : x
  2. Step 2: Convert to fraction form
    145,704,319.50/297,261,568 = 297,261,568/x
  3. Step 3: Cross multiply
    145,704,319.50x = 297,261,568 × 297,261,568
  4. Step 4: Simplify right side
    145,704,319.50x = 88,364,439,809,818,624
  5. Step 5: Solve for x
    x = 88,364,439,809,818,624/145,704,319.50
  6. Step 6: Final answer
    x = 606,464,105.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.