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Finding the Third Proportional to 75,718,162 and 164,702,852

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Solution

The third proportional to 75,718,162 and 164,702,852 is: 358,263,179.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718,162 : 164,702,852 = 164,702,852 : x
  2. Step 2: Convert to fraction form
    75,718,162/164,702,852 = 164,702,852/x
  3. Step 3: Cross multiply
    75,718,162x = 164,702,852 × 164,702,852
  4. Step 4: Simplify right side
    75,718,162x = 27,127,029,456,933,904
  5. Step 5: Solve for x
    x = 27,127,029,456,933,904/75,718,162
  6. Step 6: Final answer
    x = 358,263,179.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.