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Finding the Third Proportional to 70,330,880 and 146,049,664

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Solution

The third proportional to 70,330,880 and 146,049,664 is: 303,287,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,330,880 : 146,049,664 = 146,049,664 : x
  2. Step 2: Convert to fraction form
    70,330,880/146,049,664 = 146,049,664/x
  3. Step 3: Cross multiply
    70,330,880x = 146,049,664 × 146,049,664
  4. Step 4: Simplify right side
    70,330,880x = 21,330,504,354,512,896
  5. Step 5: Solve for x
    x = 21,330,504,354,512,896/70,330,880
  6. Step 6: Final answer
    x = 303,287,892.24

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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.