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Finding the Third Proportional to 272,850,919.88 and 419,395,871.81

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Solution

The third proportional to 272,850,919.88 and 419,395,871.81 is: 644,648,357.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,850,919.88 : 419,395,871.81 = 419,395,871.81 : x
  2. Step 2: Convert to fraction form
    272,850,919.88/419,395,871.81 = 419,395,871.81/x
  3. Step 3: Cross multiply
    272,850,919.88x = 419,395,871.81 × 419,395,871.81
  4. Step 4: Simplify right side
    272,850,919.88x = 175,892,897,293,366,944
  5. Step 5: Solve for x
    x = 175,892,897,293,366,944/272,850,919.88
  6. Step 6: Final answer
    x = 644,648,357.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.