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Finding the Third Proportional to 150,409,255,842 and 227,548,352,883

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Solution

The third proportional to 150,409,255,842 and 227,548,352,883 is: 344,249,112,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,409,255,842 : 227,548,352,883 = 227,548,352,883 : x
  2. Step 2: Convert to fraction form
    150,409,255,842/227,548,352,883 = 227,548,352,883/x
  3. Step 3: Cross multiply
    150,409,255,842x = 227,548,352,883 × 227,548,352,883
  4. Step 4: Simplify right side
    150,409,255,842x = 51,778,252,899,766,293,757,952
  5. Step 5: Solve for x
    x = 51,778,252,899,766,293,757,952/150,409,255,842
  6. Step 6: Final answer
    x = 344,249,112,927.98

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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.