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Finding the Third Proportional to 168,139,665.84 and 363,914,172.56

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Solution

The third proportional to 168,139,665.84 and 363,914,172.56 is: 787,639,991.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,139,665.84 : 363,914,172.56 = 363,914,172.56 : x
  2. Step 2: Convert to fraction form
    168,139,665.84/363,914,172.56 = 363,914,172.56/x
  3. Step 3: Cross multiply
    168,139,665.84x = 363,914,172.56 × 363,914,172.56
  4. Step 4: Simplify right side
    168,139,665.84x = 132,433,524,991,849,024
  5. Step 5: Solve for x
    x = 132,433,524,991,849,024/168,139,665.84
  6. Step 6: Final answer
    x = 787,639,991.59

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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.