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Finding the Third Proportional to 191,660,772.38 and 416,902,494.38

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Solution

The third proportional to 191,660,772.38 and 416,902,494.38 is: 906,850,617.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,772.38 : 416,902,494.38 = 416,902,494.38 : x
  2. Step 2: Convert to fraction form
    191,660,772.38/416,902,494.38 = 416,902,494.38/x
  3. Step 3: Cross multiply
    191,660,772.38x = 416,902,494.38 × 416,902,494.38
  4. Step 4: Simplify right side
    191,660,772.38x = 173,807,689,816,096,896
  5. Step 5: Solve for x
    x = 173,807,689,816,096,896/191,660,772.38
  6. Step 6: Final answer
    x = 906,850,617.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.