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Finding the Third Proportional to 207,108,564 and 321,575,529

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Solution

The third proportional to 207,108,564 and 321,575,529 is: 499,307,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,108,564 : 321,575,529 = 321,575,529 : x
  2. Step 2: Convert to fraction form
    207,108,564/321,575,529 = 321,575,529/x
  3. Step 3: Cross multiply
    207,108,564x = 321,575,529 × 321,575,529
  4. Step 4: Simplify right side
    207,108,564x = 103,410,820,851,629,840
  5. Step 5: Solve for x
    x = 103,410,820,851,629,840/207,108,564
  6. Step 6: Final answer
    x = 499,307,314.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.