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Finding the Third Proportional to 45,499,094,793 and 98,917,550,231

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Solution

The third proportional to 45,499,094,793 and 98,917,550,231 is: 215,052,228,801.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,499,094,793 : 98,917,550,231 = 98,917,550,231 : x
  2. Step 2: Convert to fraction form
    45,499,094,793/98,917,550,231 = 98,917,550,231/x
  3. Step 3: Cross multiply
    45,499,094,793x = 98,917,550,231 × 98,917,550,231
  4. Step 4: Simplify right side
    45,499,094,793x = 9,784,681,743,702,407,774,208
  5. Step 5: Solve for x
    x = 9,784,681,743,702,407,774,208/45,499,094,793
  6. Step 6: Final answer
    x = 215,052,228,801.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.