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Finding the Third Proportional to 136,608,419.25 and 209,847,240

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Solution

The third proportional to 136,608,419.25 and 209,847,240 is: 322,351,026.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,608,419.25 : 209,847,240 = 209,847,240 : x
  2. Step 2: Convert to fraction form
    136,608,419.25/209,847,240 = 209,847,240/x
  3. Step 3: Cross multiply
    136,608,419.25x = 209,847,240 × 209,847,240
  4. Step 4: Simplify right side
    136,608,419.25x = 44,035,864,135,617,600
  5. Step 5: Solve for x
    x = 44,035,864,135,617,600/136,608,419.25
  6. Step 6: Final answer
    x = 322,351,026.22

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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.