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Finding the Third Proportional to 151,048,086.75 and 233,244,678.38

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Solution

The third proportional to 151,048,086.75 and 233,244,678.38 is: 360,170,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,086.75 : 233,244,678.38 = 233,244,678.38 : x
  2. Step 2: Convert to fraction form
    151,048,086.75/233,244,678.38 = 233,244,678.38/x
  3. Step 3: Cross multiply
    151,048,086.75x = 233,244,678.38 × 233,244,678.38
  4. Step 4: Simplify right side
    151,048,086.75x = 54,403,079,990,257,192
  5. Step 5: Solve for x
    x = 54,403,079,990,257,192/151,048,086.75
  6. Step 6: Final answer
    x = 360,170,599.71

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