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Finding the Third Proportional to 70,982,544 and 106,000,728

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Solution

The third proportional to 70,982,544 and 106,000,728 is: 158,294,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982,544 : 106,000,728 = 106,000,728 : x
  2. Step 2: Convert to fraction form
    70,982,544/106,000,728 = 106,000,728/x
  3. Step 3: Cross multiply
    70,982,544x = 106,000,728 × 106,000,728
  4. Step 4: Simplify right side
    70,982,544x = 11,236,154,336,529,984
  5. Step 5: Solve for x
    x = 11,236,154,336,529,984/70,982,544
  6. Step 6: Final answer
    x = 158,294,613.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.