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Finding the Third Proportional to 70,718,832 and 105,642,716.06

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Solution

The third proportional to 70,718,832 and 105,642,716.06 is: 157,813,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718,832 : 105,642,716.06 = 105,642,716.06 : x
  2. Step 2: Convert to fraction form
    70,718,832/105,642,716.06 = 105,642,716.06/x
  3. Step 3: Cross multiply
    70,718,832x = 105,642,716.06 × 105,642,716.06
  4. Step 4: Simplify right side
    70,718,832x = 11,160,383,457,061,996
  5. Step 5: Solve for x
    x = 11,160,383,457,061,996/70,718,832
  6. Step 6: Final answer
    x = 157,813,458.47

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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.