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Finding the Third Proportional to 393,071,742.56 and 616,560,201.84

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Solution

The third proportional to 393,071,742.56 and 616,560,201.84 is: 967,117,300.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,071,742.56 : 616,560,201.84 = 616,560,201.84 : x
  2. Step 2: Convert to fraction form
    393,071,742.56/616,560,201.84 = 616,560,201.84/x
  3. Step 3: Cross multiply
    393,071,742.56x = 616,560,201.84 × 616,560,201.84
  4. Step 4: Simplify right side
    393,071,742.56x = 380,146,482,497,605,760
  5. Step 5: Solve for x
    x = 380,146,482,497,605,760/393,071,742.56
  6. Step 6: Final answer
    x = 967,117,300.32

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.