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Finding the Third Proportional to 151,048,440 and 233,245,212.75

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Solution

The third proportional to 151,048,440 and 233,245,212.75 is: 360,171,407.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,048,440 : 233,245,212.75 = 233,245,212.75 : x
  2. Step 2: Convert to fraction form
    151,048,440/233,245,212.75 = 233,245,212.75/x
  3. Step 3: Cross multiply
    151,048,440x = 233,245,212.75 × 233,245,212.75
  4. Step 4: Simplify right side
    151,048,440x = 54,403,329,270,792,760
  5. Step 5: Solve for x
    x = 54,403,329,270,792,760/151,048,440
  6. Step 6: Final answer
    x = 360,171,407.73

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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.