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Finding the Third Proportional to 75,823,171 and 163,728,416

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Solution

The third proportional to 75,823,171 and 163,728,416 is: 353,546,202.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,171 : 163,728,416 = 163,728,416 : x
  2. Step 2: Convert to fraction form
    75,823,171/163,728,416 = 163,728,416/x
  3. Step 3: Cross multiply
    75,823,171x = 163,728,416 × 163,728,416
  4. Step 4: Simplify right side
    75,823,171x = 26,806,994,205,869,056
  5. Step 5: Solve for x
    x = 26,806,994,205,869,056/75,823,171
  6. Step 6: Final answer
    x = 353,546,202.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.