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Finding the Third Proportional to 48,125,194 and 100,216,148

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Solution

The third proportional to 48,125,194 and 100,216,148 is: 208,690,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125,194 : 100,216,148 = 100,216,148 : x
  2. Step 2: Convert to fraction form
    48,125,194/100,216,148 = 100,216,148/x
  3. Step 3: Cross multiply
    48,125,194x = 100,216,148 × 100,216,148
  4. Step 4: Simplify right side
    48,125,194x = 10,043,276,319,957,904
  5. Step 5: Solve for x
    x = 10,043,276,319,957,904/48,125,194
  6. Step 6: Final answer
    x = 208,690,614.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.