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Finding the Third Proportional to 90,785,083 and 194,191,891

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Solution

The third proportional to 90,785,083 and 194,191,891 is: 415,382,013.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,785,083 : 194,191,891 = 194,191,891 : x
  2. Step 2: Convert to fraction form
    90,785,083/194,191,891 = 194,191,891/x
  3. Step 3: Cross multiply
    90,785,083x = 194,191,891 × 194,191,891
  4. Step 4: Simplify right side
    90,785,083x = 37,710,490,530,155,880
  5. Step 5: Solve for x
    x = 37,710,490,530,155,880/90,785,083
  6. Step 6: Final answer
    x = 415,382,013.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.