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Finding the Third Proportional to 136,438,976 and 209,928,216

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Solution

The third proportional to 136,438,976 and 209,928,216 is: 323,000,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,438,976 : 209,928,216 = 209,928,216 : x
  2. Step 2: Convert to fraction form
    136,438,976/209,928,216 = 209,928,216/x
  3. Step 3: Cross multiply
    136,438,976x = 209,928,216 × 209,928,216
  4. Step 4: Simplify right side
    136,438,976x = 44,069,855,872,942,656
  5. Step 5: Solve for x
    x = 44,069,855,872,942,656/136,438,976
  6. Step 6: Final answer
    x = 323,000,488.31

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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.