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Finding the Third Proportional to 77,716,734.75 and 160,935,961.50

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Solution

The third proportional to 77,716,734.75 and 160,935,961.50 is: 333,266,493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,716,734.75 : 160,935,961.50 = 160,935,961.50 : x
  2. Step 2: Convert to fraction form
    77,716,734.75/160,935,961.50 = 160,935,961.50/x
  3. Step 3: Cross multiply
    77,716,734.75x = 160,935,961.50 × 160,935,961.50
  4. Step 4: Simplify right side
    77,716,734.75x = 25,900,383,703,929,484
  5. Step 5: Solve for x
    x = 25,900,383,703,929,484/77,716,734.75
  6. Step 6: Final answer
    x = 333,266,493.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.