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Finding the Third Proportional to 114,203,520 and 169,231,335.75

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Solution

The third proportional to 114,203,520 and 169,231,335.75 is: 250,773,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,203,520 : 169,231,335.75 = 169,231,335.75 : x
  2. Step 2: Convert to fraction form
    114,203,520/169,231,335.75 = 169,231,335.75/x
  3. Step 3: Cross multiply
    114,203,520x = 169,231,335.75 × 169,231,335.75
  4. Step 4: Simplify right side
    114,203,520x = 28,639,244,999,729,228
  5. Step 5: Solve for x
    x = 28,639,244,999,729,228/114,203,520
  6. Step 6: Final answer
    x = 250,773,750.23

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.