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Finding the Third Proportional to 150,409,255,834 and 227,548,352,872

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Solution

The third proportional to 150,409,255,834 and 227,548,352,872 is: 344,249,112,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409,255,834 : 227,548,352,872 = 227,548,352,872 : x
  2. Step 2: Convert to fraction form
    150,409,255,834/227,548,352,872 = 227,548,352,872/x
  3. Step 3: Cross multiply
    150,409,255,834x = 227,548,352,872 × 227,548,352,872
  4. Step 4: Simplify right side
    150,409,255,834x = 51,778,252,894,760,232,550,400
  5. Step 5: Solve for x
    x = 51,778,252,894,760,232,550,400/150,409,255,834
  6. Step 6: Final answer
    x = 344,249,112,913.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.