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Finding the Third Proportional to 86,195,141,345 and 201,390,743,053

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Solution

The third proportional to 86,195,141,345 and 201,390,743,053 is: 470,539,647,067.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,195,141,345 : 201,390,743,053 = 201,390,743,053 : x
  2. Step 2: Convert to fraction form
    86,195,141,345/201,390,743,053 = 201,390,743,053/x
  3. Step 3: Cross multiply
    86,195,141,345x = 201,390,743,053 × 201,390,743,053
  4. Step 4: Simplify right side
    86,195,141,345x = 40,558,231,387,439,468,904,448
  5. Step 5: Solve for x
    x = 40,558,231,387,439,468,904,448/86,195,141,345
  6. Step 6: Final answer
    x = 470,539,647,067.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.