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Finding the Third Proportional to 232,957,924 and 370,861,469

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Solution

The third proportional to 232,957,924 and 370,861,469 is: 590,399,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,957,924 : 370,861,469 = 370,861,469 : x
  2. Step 2: Convert to fraction form
    232,957,924/370,861,469 = 370,861,469/x
  3. Step 3: Cross multiply
    232,957,924x = 370,861,469 × 370,861,469
  4. Step 4: Simplify right side
    232,957,924x = 137,538,229,188,837,968
  5. Step 5: Solve for x
    x = 137,538,229,188,837,968/232,957,924
  6. Step 6: Final answer
    x = 590,399,445.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.