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Finding the Third Proportional to 180,185,509 and 393,399,092

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Solution

The third proportional to 180,185,509 and 393,399,092 is: 858,908,390.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,185,509 : 393,399,092 = 393,399,092 : x
  2. Step 2: Convert to fraction form
    180,185,509/393,399,092 = 393,399,092/x
  3. Step 3: Cross multiply
    180,185,509x = 393,399,092 × 393,399,092
  4. Step 4: Simplify right side
    180,185,509x = 154,762,845,586,424,448
  5. Step 5: Solve for x
    x = 154,762,845,586,424,448/180,185,509
  6. Step 6: Final answer
    x = 858,908,390.83

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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.