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Finding the Third Proportional to 136,620,471 and 211,314,805.50

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Solution

The third proportional to 136,620,471 and 211,314,805.50 is: 326,846,677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,620,471 : 211,314,805.50 = 211,314,805.50 : x
  2. Step 2: Convert to fraction form
    136,620,471/211,314,805.50 = 211,314,805.50/x
  3. Step 3: Cross multiply
    136,620,471x = 211,314,805.50 × 211,314,805.50
  4. Step 4: Simplify right side
    136,620,471x = 44,653,947,023,502,832
  5. Step 5: Solve for x
    x = 44,653,947,023,502,832/136,620,471
  6. Step 6: Final answer
    x = 326,846,677.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.