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Finding the Third Proportional to 106,750,876 and 216,472,220

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Solution

The third proportional to 106,750,876 and 216,472,220 is: 438,968,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,750,876 : 216,472,220 = 216,472,220 : x
  2. Step 2: Convert to fraction form
    106,750,876/216,472,220 = 216,472,220/x
  3. Step 3: Cross multiply
    106,750,876x = 216,472,220 × 216,472,220
  4. Step 4: Simplify right side
    106,750,876x = 46,860,222,031,728,400
  5. Step 5: Solve for x
    x = 46,860,222,031,728,400/106,750,876
  6. Step 6: Final answer
    x = 438,968,032.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.