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Finding the Third Proportional to 75,709,172 and 164,704,372

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Solution

The third proportional to 75,709,172 and 164,704,372 is: 358,312,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709,172 : 164,704,372 = 164,704,372 : x
  2. Step 2: Convert to fraction form
    75,709,172/164,704,372 = 164,704,372/x
  3. Step 3: Cross multiply
    75,709,172x = 164,704,372 × 164,704,372
  4. Step 4: Simplify right side
    75,709,172x = 27,127,530,155,914,384
  5. Step 5: Solve for x
    x = 27,127,530,155,914,384/75,709,172
  6. Step 6: Final answer
    x = 358,312,334.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.