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Finding the Third Proportional to 69,114,695 and 148,486,337

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Solution

The third proportional to 69,114,695 and 148,486,337 is: 319,008,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,114,695 : 148,486,337 = 148,486,337 : x
  2. Step 2: Convert to fraction form
    69,114,695/148,486,337 = 148,486,337/x
  3. Step 3: Cross multiply
    69,114,695x = 148,486,337 × 148,486,337
  4. Step 4: Simplify right side
    69,114,695x = 22,048,192,275,677,568
  5. Step 5: Solve for x
    x = 22,048,192,275,677,568/69,114,695
  6. Step 6: Final answer
    x = 319,008,747.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.