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Finding the Third Proportional to 95,863,891,706 and 208,413,886,828

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Solution

The third proportional to 95,863,891,706 and 208,413,886,828 is: 453,104,369,640.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863,891,706 : 208,413,886,828 = 208,413,886,828 : x
  2. Step 2: Convert to fraction form
    95,863,891,706/208,413,886,828 = 208,413,886,828/x
  3. Step 3: Cross multiply
    95,863,891,706x = 208,413,886,828 × 208,413,886,828
  4. Step 4: Simplify right side
    95,863,891,706x = 43,436,348,222,754,393,161,728
  5. Step 5: Solve for x
    x = 43,436,348,222,754,393,161,728/95,863,891,706
  6. Step 6: Final answer
    x = 453,104,369,640.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.