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Finding the Third Proportional to 151,048,239.75 and 233,244,900

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Solution

The third proportional to 151,048,239.75 and 233,244,900 is: 360,170,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,239.75 : 233,244,900 = 233,244,900 : x
  2. Step 2: Convert to fraction form
    151,048,239.75/233,244,900 = 233,244,900/x
  3. Step 3: Cross multiply
    151,048,239.75x = 233,244,900 × 233,244,900
  4. Step 4: Simplify right side
    151,048,239.75x = 54,403,183,376,010,000
  5. Step 5: Solve for x
    x = 54,403,183,376,010,000/151,048,239.75
  6. Step 6: Final answer
    x = 360,170,919.34

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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.