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Finding the Third Proportional to 154,221,120 and 205,605,216

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Solution

The third proportional to 154,221,120 and 205,605,216 is: 274,109,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,221,120 : 205,605,216 = 205,605,216 : x
  2. Step 2: Convert to fraction form
    154,221,120/205,605,216 = 205,605,216/x
  3. Step 3: Cross multiply
    154,221,120x = 205,605,216 × 205,605,216
  4. Step 4: Simplify right side
    154,221,120x = 42,273,504,846,406,656
  5. Step 5: Solve for x
    x = 42,273,504,846,406,656/154,221,120
  6. Step 6: Final answer
    x = 274,109,699.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.