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Finding the Third Proportional to 75,711,075 and 164,343,591

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Solution

The third proportional to 75,711,075 and 164,343,591 is: 356,735,337.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,075 : 164,343,591 = 164,343,591 : x
  2. Step 2: Convert to fraction form
    75,711,075/164,343,591 = 164,343,591/x
  3. Step 3: Cross multiply
    75,711,075x = 164,343,591 × 164,343,591
  4. Step 4: Simplify right side
    75,711,075x = 27,008,815,902,775,280
  5. Step 5: Solve for x
    x = 27,008,815,902,775,280/75,711,075
  6. Step 6: Final answer
    x = 356,735,337.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.