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Finding the Third Proportional to 137,964,849 and 300,424,098

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Solution

The third proportional to 137,964,849 and 300,424,098 is: 654,185,753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,964,849 : 300,424,098 = 300,424,098 : x
  2. Step 2: Convert to fraction form
    137,964,849/300,424,098 = 300,424,098/x
  3. Step 3: Cross multiply
    137,964,849x = 300,424,098 × 300,424,098
  4. Step 4: Simplify right side
    137,964,849x = 90,254,638,659,113,600
  5. Step 5: Solve for x
    x = 90,254,638,659,113,600/137,964,849
  6. Step 6: Final answer
    x = 654,185,753.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.