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Finding the Third Proportional to 205,854,064.50 and 452,018,913

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Solution

The third proportional to 205,854,064.50 and 452,018,913 is: 992,553,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,854,064.50 : 452,018,913 = 452,018,913 : x
  2. Step 2: Convert to fraction form
    205,854,064.50/452,018,913 = 452,018,913/x
  3. Step 3: Cross multiply
    205,854,064.50x = 452,018,913 × 452,018,913
  4. Step 4: Simplify right side
    205,854,064.50x = 204,321,097,709,701,568
  5. Step 5: Solve for x
    x = 204,321,097,709,701,568/205,854,064.50
  6. Step 6: Final answer
    x = 992,553,138.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.