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Finding the Third Proportional to 136,462,616 and 322,141,936

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Solution

The third proportional to 136,462,616 and 322,141,936 is: 760,467,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,462,616 : 322,141,936 = 322,141,936 : x
  2. Step 2: Convert to fraction form
    136,462,616/322,141,936 = 322,141,936/x
  3. Step 3: Cross multiply
    136,462,616x = 322,141,936 × 322,141,936
  4. Step 4: Simplify right side
    136,462,616x = 103,775,426,929,828,096
  5. Step 5: Solve for x
    x = 103,775,426,929,828,096/136,462,616
  6. Step 6: Final answer
    x = 760,467,811.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.