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Finding the Third Proportional to 70,370,064 and 146,564,568

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Solution

The third proportional to 70,370,064 and 146,564,568 is: 305,260,097.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,370,064 : 146,564,568 = 146,564,568 : x
  2. Step 2: Convert to fraction form
    70,370,064/146,564,568 = 146,564,568/x
  3. Step 3: Cross multiply
    70,370,064x = 146,564,568 × 146,564,568
  4. Step 4: Simplify right side
    70,370,064x = 21,481,172,593,026,624
  5. Step 5: Solve for x
    x = 21,481,172,593,026,624/70,370,064
  6. Step 6: Final answer
    x = 305,260,097.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.