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Finding the Third Proportional to 51,136,920 and 109,863,216

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Solution

The third proportional to 51,136,920 and 109,863,216 is: 236,031,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,136,920 : 109,863,216 = 109,863,216 : x
  2. Step 2: Convert to fraction form
    51,136,920/109,863,216 = 109,863,216/x
  3. Step 3: Cross multiply
    51,136,920x = 109,863,216 × 109,863,216
  4. Step 4: Simplify right side
    51,136,920x = 12,069,926,229,862,656
  5. Step 5: Solve for x
    x = 12,069,926,229,862,656/51,136,920
  6. Step 6: Final answer
    x = 236,031,544.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.