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Finding the Third Proportional to 151,048,051 and 233,244,622

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Solution

The third proportional to 151,048,051 and 233,244,622 is: 360,170,510.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,051 : 233,244,622 = 233,244,622 : x
  2. Step 2: Convert to fraction form
    151,048,051/233,244,622 = 233,244,622/x
  3. Step 3: Cross multiply
    151,048,051x = 233,244,622 × 233,244,622
  4. Step 4: Simplify right side
    151,048,051x = 54,403,053,691,922,880
  5. Step 5: Solve for x
    x = 54,403,053,691,922,880/151,048,051
  6. Step 6: Final answer
    x = 360,170,510.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.