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Finding the Third Proportional to 137,264,928 and 285,820,704

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Solution

The third proportional to 137,264,928 and 285,820,704 is: 595,151,842.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,264,928 : 285,820,704 = 285,820,704 : x
  2. Step 2: Convert to fraction form
    137,264,928/285,820,704 = 285,820,704/x
  3. Step 3: Cross multiply
    137,264,928x = 285,820,704 × 285,820,704
  4. Step 4: Simplify right side
    137,264,928x = 81,693,474,835,055,616
  5. Step 5: Solve for x
    x = 81,693,474,835,055,616/137,264,928
  6. Step 6: Final answer
    x = 595,151,842.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.