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Finding the Third Proportional to 144,228,920 and 310,327,297

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Solution

The third proportional to 144,228,920 and 310,327,297 is: 667,709,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,228,920 : 310,327,297 = 310,327,297 : x
  2. Step 2: Convert to fraction form
    144,228,920/310,327,297 = 310,327,297/x
  3. Step 3: Cross multiply
    144,228,920x = 310,327,297 × 310,327,297
  4. Step 4: Simplify right side
    144,228,920x = 96,303,031,263,326,208
  5. Step 5: Solve for x
    x = 96,303,031,263,326,208/144,228,920
  6. Step 6: Final answer
    x = 667,709,577.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.