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Finding the Third Proportional to 135,259,357.50 and 295,421,704.50

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Solution

The third proportional to 135,259,357.50 and 295,421,704.50 is: 645,234,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,259,357.50 : 295,421,704.50 = 295,421,704.50 : x
  2. Step 2: Convert to fraction form
    135,259,357.50/295,421,704.50 = 295,421,704.50/x
  3. Step 3: Cross multiply
    135,259,357.50x = 295,421,704.50 × 295,421,704.50
  4. Step 4: Simplify right side
    135,259,357.50x = 87,273,983,489,685,328
  5. Step 5: Solve for x
    x = 87,273,983,489,685,328/135,259,357.50
  6. Step 6: Final answer
    x = 645,234,349.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.