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Finding the Third Proportional to 151,048,014.75 and 233,244,558

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Solution

The third proportional to 151,048,014.75 and 233,244,558 is: 360,170,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,014.75 : 233,244,558 = 233,244,558 : x
  2. Step 2: Convert to fraction form
    151,048,014.75/233,244,558 = 233,244,558/x
  3. Step 3: Cross multiply
    151,048,014.75x = 233,244,558 × 233,244,558
  4. Step 4: Simplify right side
    151,048,014.75x = 54,403,023,836,615,360
  5. Step 5: Solve for x
    x = 54,403,023,836,615,360/151,048,014.75
  6. Step 6: Final answer
    x = 360,170,399.64

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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.