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Finding the Third Proportional to 151,048,034 and 233,244,589

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Solution

The third proportional to 151,048,034 and 233,244,589 is: 360,170,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,034 : 233,244,589 = 233,244,589 : x
  2. Step 2: Convert to fraction form
    151,048,034/233,244,589 = 233,244,589/x
  3. Step 3: Cross multiply
    151,048,034x = 233,244,589 × 233,244,589
  4. Step 4: Simplify right side
    151,048,034x = 54,403,038,297,778,920
  5. Step 5: Solve for x
    x = 54,403,038,297,778,920/151,048,034
  6. Step 6: Final answer
    x = 360,170,449.47

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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.