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Finding the Third Proportional to 95,863,891,704 and 208,413,886,824

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Solution

The third proportional to 95,863,891,704 and 208,413,886,824 is: 453,104,369,632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863,891,704 : 208,413,886,824 = 208,413,886,824 : x
  2. Step 2: Convert to fraction form
    95,863,891,704/208,413,886,824 = 208,413,886,824/x
  3. Step 3: Cross multiply
    95,863,891,704x = 208,413,886,824 × 208,413,886,824
  4. Step 4: Simplify right side
    95,863,891,704x = 43,436,348,221,087,081,824,256
  5. Step 5: Solve for x
    x = 43,436,348,221,087,081,824,256/95,863,891,704
  6. Step 6: Final answer
    x = 453,104,369,632.79

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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.