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Finding the Third Proportional to 70,718,816.25 and 105,642,717.75

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Solution

The third proportional to 70,718,816.25 and 105,642,717.75 is: 157,813,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718,816.25 : 105,642,717.75 = 105,642,717.75 : x
  2. Step 2: Convert to fraction form
    70,718,816.25/105,642,717.75 = 105,642,717.75/x
  3. Step 3: Cross multiply
    70,718,816.25x = 105,642,717.75 × 105,642,717.75
  4. Step 4: Simplify right side
    70,718,816.25x = 11,160,383,813,606,166
  5. Step 5: Solve for x
    x = 11,160,383,813,606,166/70,718,816.25
  6. Step 6: Final answer
    x = 157,813,498.66

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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.