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Finding the Third Proportional to 75,718,168 and 164,702,864

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Solution

The third proportional to 75,718,168 and 164,702,864 is: 358,263,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,718,168 : 164,702,864 = 164,702,864 : x
  2. Step 2: Convert to fraction form
    75,718,168/164,702,864 = 164,702,864/x
  3. Step 3: Cross multiply
    75,718,168x = 164,702,864 × 164,702,864
  4. Step 4: Simplify right side
    75,718,168x = 27,127,033,409,802,496
  5. Step 5: Solve for x
    x = 27,127,033,409,802,496/75,718,168
  6. Step 6: Final answer
    x = 358,263,203.22

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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.