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Finding the Third Proportional to 48,124,922 and 100,215,580

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Solution

The third proportional to 48,124,922 and 100,215,580 is: 208,689,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,124,922 : 100,215,580 = 100,215,580 : x
  2. Step 2: Convert to fraction form
    48,124,922/100,215,580 = 100,215,580/x
  3. Step 3: Cross multiply
    48,124,922x = 100,215,580 × 100,215,580
  4. Step 4: Simplify right side
    48,124,922x = 10,043,162,474,736,400
  5. Step 5: Solve for x
    x = 10,043,162,474,736,400/48,124,922
  6. Step 6: Final answer
    x = 208,689,428.62

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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.