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Finding the Third Proportional to 70,899,162 and 153,898,509

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Solution

The third proportional to 70,899,162 and 153,898,509 is: 334,062,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,899,162 : 153,898,509 = 153,898,509 : x
  2. Step 2: Convert to fraction form
    70,899,162/153,898,509 = 153,898,509/x
  3. Step 3: Cross multiply
    70,899,162x = 153,898,509 × 153,898,509
  4. Step 4: Simplify right side
    70,899,162x = 23,684,751,072,423,080
  5. Step 5: Solve for x
    x = 23,684,751,072,423,080/70,899,162
  6. Step 6: Final answer
    x = 334,062,496.71

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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.