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Finding the Third Proportional to 144,129,218 and 317,083,972

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Solution

The third proportional to 144,129,218 and 317,083,972 is: 697,584,061.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,129,218 : 317,083,972 = 317,083,972 : x
  2. Step 2: Convert to fraction form
    144,129,218/317,083,972 = 317,083,972/x
  3. Step 3: Cross multiply
    144,129,218x = 317,083,972 × 317,083,972
  4. Step 4: Simplify right side
    144,129,218x = 100,542,245,299,296,784
  5. Step 5: Solve for x
    x = 100,542,245,299,296,784/144,129,218
  6. Step 6: Final answer
    x = 697,584,061.68

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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.