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Finding the Third Proportional to 31,973,089.50 and 69,373,017

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Solution

The third proportional to 31,973,089.50 and 69,373,017 is: 150,520,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973,089.50 : 69,373,017 = 69,373,017 : x
  2. Step 2: Convert to fraction form
    31,973,089.50/69,373,017 = 69,373,017/x
  3. Step 3: Cross multiply
    31,973,089.50x = 69,373,017 × 69,373,017
  4. Step 4: Simplify right side
    31,973,089.50x = 4,812,615,487,682,289
  5. Step 5: Solve for x
    x = 4,812,615,487,682,289/31,973,089.50
  6. Step 6: Final answer
    x = 150,520,814.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.