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Finding the Third Proportional to 87,462,172 and 202,480,352

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Solution

The third proportional to 87,462,172 and 202,480,352 is: 468,754,571.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,462,172 : 202,480,352 = 202,480,352 : x
  2. Step 2: Convert to fraction form
    87,462,172/202,480,352 = 202,480,352/x
  3. Step 3: Cross multiply
    87,462,172x = 202,480,352 × 202,480,352
  4. Step 4: Simplify right side
    87,462,172x = 40,998,292,946,043,904
  5. Step 5: Solve for x
    x = 40,998,292,946,043,904/87,462,172
  6. Step 6: Final answer
    x = 468,754,571.36

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.