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Finding the Third Proportional to 296,958,162.66 and 449,259,326.44

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Solution

The third proportional to 296,958,162.66 and 449,259,326.44 is: 679,671,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,958,162.66 : 449,259,326.44 = 449,259,326.44 : x
  2. Step 2: Convert to fraction form
    296,958,162.66/449,259,326.44 = 449,259,326.44/x
  3. Step 3: Cross multiply
    296,958,162.66x = 449,259,326.44 × 449,259,326.44
  4. Step 4: Simplify right side
    296,958,162.66x = 201,833,942,391,076,192
  5. Step 5: Solve for x
    x = 201,833,942,391,076,192/296,958,162.66
  6. Step 6: Final answer
    x = 679,671,306.51

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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.