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Finding the Third Proportional to 96,149,930,320 and 205,531,859,936

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Solution

The third proportional to 96,149,930,320 and 205,531,859,936 is: 439,348,684,998.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,149,930,320 : 205,531,859,936 = 205,531,859,936 : x
  2. Step 2: Convert to fraction form
    96,149,930,320/205,531,859,936 = 205,531,859,936/x
  3. Step 3: Cross multiply
    96,149,930,320x = 205,531,859,936 × 205,531,859,936
  4. Step 4: Simplify right side
    96,149,930,320x = 42,243,345,448,751,517,925,376
  5. Step 5: Solve for x
    x = 42,243,345,448,751,517,925,376/96,149,930,320
  6. Step 6: Final answer
    x = 439,348,684,998.11

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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.