Home / 77,284,806.75-166,676,162.06

Finding the Third Proportional to 77,284,806.75 and 166,676,162.06

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Solution

The third proportional to 77,284,806.75 and 166,676,162.06 is: 359,461,893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,806.75 : 166,676,162.06 = 166,676,162.06 : x
  2. Step 2: Convert to fraction form
    77,284,806.75/166,676,162.06 = 166,676,162.06/x
  3. Step 3: Cross multiply
    77,284,806.75x = 166,676,162.06 × 166,676,162.06
  4. Step 4: Simplify right side
    77,284,806.75x = 27,780,942,999,884,764
  5. Step 5: Solve for x
    x = 27,780,942,999,884,764/77,284,806.75
  6. Step 6: Final answer
    x = 359,461,893.85

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Why These Related Problems?

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