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Finding the Third Proportional to 169,865,043,194.25 and 254,549,086,551

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Solution

The third proportional to 169,865,043,194.25 and 254,549,086,551 is: 381,451,275,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,865,043,194.25 : 254,549,086,551 = 254,549,086,551 : x
  2. Step 2: Convert to fraction form
    169,865,043,194.25/254,549,086,551 = 254,549,086,551/x
  3. Step 3: Cross multiply
    169,865,043,194.25x = 254,549,086,551 × 254,549,086,551
  4. Step 4: Simplify right side
    169,865,043,194.25x = 64,795,237,463,948,485,722,112
  5. Step 5: Solve for x
    x = 64,795,237,463,948,485,722,112/169,865,043,194.25
  6. Step 6: Final answer
    x = 381,451,275,939.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.