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Finding the Third Proportional to 43,155,009 and 92,431,431

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Solution

The third proportional to 43,155,009 and 92,431,431 is: 197,973,992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,155,009 : 92,431,431 = 92,431,431 : x
  2. Step 2: Convert to fraction form
    43,155,009/92,431,431 = 92,431,431/x
  3. Step 3: Cross multiply
    43,155,009x = 92,431,431 × 92,431,431
  4. Step 4: Simplify right side
    43,155,009x = 8,543,569,436,707,761
  5. Step 5: Solve for x
    x = 8,543,569,436,707,761/43,155,009
  6. Step 6: Final answer
    x = 197,973,992.70

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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.