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Finding the Third Proportional to 76,599,216 and 163,958,467

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Solution

The third proportional to 76,599,216 and 163,958,467 is: 350,948,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,599,216 : 163,958,467 = 163,958,467 : x
  2. Step 2: Convert to fraction form
    76,599,216/163,958,467 = 163,958,467/x
  3. Step 3: Cross multiply
    76,599,216x = 163,958,467 × 163,958,467
  4. Step 4: Simplify right side
    76,599,216x = 26,882,378,900,990,088
  5. Step 5: Solve for x
    x = 26,882,378,900,990,088/76,599,216
  6. Step 6: Final answer
    x = 350,948,486.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.