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Finding the Third Proportional to 75,481,815 and 165,095,997

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Solution

The third proportional to 75,481,815 and 165,095,997 is: 361,102,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,481,815 : 165,095,997 = 165,095,997 : x
  2. Step 2: Convert to fraction form
    75,481,815/165,095,997 = 165,095,997/x
  3. Step 3: Cross multiply
    75,481,815x = 165,095,997 × 165,095,997
  4. Step 4: Simplify right side
    75,481,815x = 27,256,688,225,424,008
  5. Step 5: Solve for x
    x = 27,256,688,225,424,008/75,481,815
  6. Step 6: Final answer
    x = 361,102,713.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.