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Finding the Third Proportional to 48,198,874.50 and 105,962,458.50

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Solution

The third proportional to 48,198,874.50 and 105,962,458.50 is: 232,952,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,198,874.50 : 105,962,458.50 = 105,962,458.50 : x
  2. Step 2: Convert to fraction form
    48,198,874.50/105,962,458.50 = 105,962,458.50/x
  3. Step 3: Cross multiply
    48,198,874.50x = 105,962,458.50 × 105,962,458.50
  4. Step 4: Simplify right side
    48,198,874.50x = 11,228,042,611,364,222
  5. Step 5: Solve for x
    x = 11,228,042,611,364,222/48,198,874.50
  6. Step 6: Final answer
    x = 232,952,381.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.