Home / 77,284,929.56-166,676,406.94

Finding the Third Proportional to 77,284,929.56 and 166,676,406.94

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Solution

The third proportional to 77,284,929.56 and 166,676,406.94 is: 359,462,378.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,929.56 : 166,676,406.94 = 166,676,406.94 : x
  2. Step 2: Convert to fraction form
    77,284,929.56/166,676,406.94 = 166,676,406.94/x
  3. Step 3: Cross multiply
    77,284,929.56x = 166,676,406.94 × 166,676,406.94
  4. Step 4: Simplify right side
    77,284,929.56x = 27,781,024,629,595,100
  5. Step 5: Solve for x
    x = 27,781,024,629,595,100/77,284,929.56
  6. Step 6: Final answer
    x = 359,462,378.85

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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.