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Finding the Third Proportional to 68,032,940 and 105,056,993

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Solution

The third proportional to 68,032,940 and 105,056,993 is: 162,229,822.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032,940 : 105,056,993 = 105,056,993 : x
  2. Step 2: Convert to fraction form
    68,032,940/105,056,993 = 105,056,993/x
  3. Step 3: Cross multiply
    68,032,940x = 105,056,993 × 105,056,993
  4. Step 4: Simplify right side
    68,032,940x = 11,036,971,778,202,048
  5. Step 5: Solve for x
    x = 11,036,971,778,202,048/68,032,940
  6. Step 6: Final answer
    x = 162,229,822.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.