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Finding the Third Proportional to 43,405,487,145 and 93,091,315,230

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Solution

The third proportional to 43,405,487,145 and 93,091,315,230 is: 199,652,015,016.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,405,487,145 : 93,091,315,230 = 93,091,315,230 : x
  2. Step 2: Convert to fraction form
    43,405,487,145/93,091,315,230 = 93,091,315,230/x
  3. Step 3: Cross multiply
    43,405,487,145x = 93,091,315,230 × 93,091,315,230
  4. Step 4: Simplify right side
    43,405,487,145x = 8,665,992,971,251,229,917,184
  5. Step 5: Solve for x
    x = 8,665,992,971,251,229,917,184/43,405,487,145
  6. Step 6: Final answer
    x = 199,652,015,016.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.