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Finding the Third Proportional to 205,477,425 and 309,957,966

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Solution

The third proportional to 205,477,425 and 309,957,966 is: 467,564,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,477,425 : 309,957,966 = 309,957,966 : x
  2. Step 2: Convert to fraction form
    205,477,425/309,957,966 = 309,957,966/x
  3. Step 3: Cross multiply
    205,477,425x = 309,957,966 × 309,957,966
  4. Step 4: Simplify right side
    205,477,425x = 96,073,940,686,857,152
  5. Step 5: Solve for x
    x = 96,073,940,686,857,152/205,477,425
  6. Step 6: Final answer
    x = 467,564,457.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.