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Finding the Third Proportional to 48,124,920 and 100,215,576

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Solution

The third proportional to 48,124,920 and 100,215,576 is: 208,689,420.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,124,920 : 100,215,576 = 100,215,576 : x
  2. Step 2: Convert to fraction form
    48,124,920/100,215,576 = 100,215,576/x
  3. Step 3: Cross multiply
    48,124,920x = 100,215,576 × 100,215,576
  4. Step 4: Simplify right side
    48,124,920x = 10,043,161,673,011,776
  5. Step 5: Solve for x
    x = 10,043,161,673,011,776/48,124,920
  6. Step 6: Final answer
    x = 208,689,420.64

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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.