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Finding the Third Proportional to 68,110,050 and 102,065,193

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Solution

The third proportional to 68,110,050 and 102,065,193 is: 152,948,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,110,050 : 102,065,193 = 102,065,193 : x
  2. Step 2: Convert to fraction form
    68,110,050/102,065,193 = 102,065,193/x
  3. Step 3: Cross multiply
    68,110,050x = 102,065,193 × 102,065,193
  4. Step 4: Simplify right side
    68,110,050x = 10,417,303,622,127,248
  5. Step 5: Solve for x
    x = 10,417,303,622,127,248/68,110,050
  6. Step 6: Final answer
    x = 152,948,112.97

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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.