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Finding the Third Proportional to 193,360,264 and 306,681,390

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Solution

The third proportional to 193,360,264 and 306,681,390 is: 486,415,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,360,264 : 306,681,390 = 306,681,390 : x
  2. Step 2: Convert to fraction form
    193,360,264/306,681,390 = 306,681,390/x
  3. Step 3: Cross multiply
    193,360,264x = 306,681,390 × 306,681,390
  4. Step 4: Simplify right side
    193,360,264x = 94,053,474,972,332,096
  5. Step 5: Solve for x
    x = 94,053,474,972,332,096/193,360,264
  6. Step 6: Final answer
    x = 486,415,735.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.