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Finding the Third Proportional to 75,717,834 and 164,702,216

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Solution

The third proportional to 75,717,834 and 164,702,216 is: 358,261,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,834 : 164,702,216 = 164,702,216 : x
  2. Step 2: Convert to fraction form
    75,717,834/164,702,216 = 164,702,216/x
  3. Step 3: Cross multiply
    75,717,834x = 164,702,216 × 164,702,216
  4. Step 4: Simplify right side
    75,717,834x = 27,126,819,955,310,656
  5. Step 5: Solve for x
    x = 27,126,819,955,310,656/75,717,834
  6. Step 6: Final answer
    x = 358,261,964.48

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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.