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Finding the Third Proportional to 136,117,132 and 209,221,758

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Solution

The third proportional to 136,117,132 and 209,221,758 is: 321,588,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,117,132 : 209,221,758 = 209,221,758 : x
  2. Step 2: Convert to fraction form
    136,117,132/209,221,758 = 209,221,758/x
  3. Step 3: Cross multiply
    136,117,132x = 209,221,758 × 209,221,758
  4. Step 4: Simplify right side
    136,117,132x = 43,773,744,020,610,560
  5. Step 5: Solve for x
    x = 43,773,744,020,610,560/136,117,132
  6. Step 6: Final answer
    x = 321,588,791.78

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.