Home / 77,284,919.16-166,676,385.38

Finding the Third Proportional to 77,284,919.16 and 166,676,385.38

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Solution

The third proportional to 77,284,919.16 and 166,676,385.38 is: 359,462,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,284,919.16 : 166,676,385.38 = 166,676,385.38 : x
  2. Step 2: Convert to fraction form
    77,284,919.16/166,676,385.38 = 166,676,385.38/x
  3. Step 3: Cross multiply
    77,284,919.16x = 166,676,385.38 × 166,676,385.38
  4. Step 4: Simplify right side
    77,284,919.16x = 27,781,017,441,675,512
  5. Step 5: Solve for x
    x = 27,781,017,441,675,512/77,284,919.16
  6. Step 6: Final answer
    x = 359,462,334.24

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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.