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Finding the Third Proportional to 48,918,192 and 106,625,814

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Solution

The third proportional to 48,918,192 and 106,625,814 is: 232,409,738.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,918,192 : 106,625,814 = 106,625,814 : x
  2. Step 2: Convert to fraction form
    48,918,192/106,625,814 = 106,625,814/x
  3. Step 3: Cross multiply
    48,918,192x = 106,625,814 × 106,625,814
  4. Step 4: Simplify right side
    48,918,192x = 11,369,064,211,162,596
  5. Step 5: Solve for x
    x = 11,369,064,211,162,596/48,918,192
  6. Step 6: Final answer
    x = 232,409,738.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.