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Finding the Third Proportional to 69,458,340 and 151,259,784

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Solution

The third proportional to 69,458,340 and 151,259,784 is: 329,399,209.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,458,340 : 151,259,784 = 151,259,784 : x
  2. Step 2: Convert to fraction form
    69,458,340/151,259,784 = 151,259,784/x
  3. Step 3: Cross multiply
    69,458,340x = 151,259,784 × 151,259,784
  4. Step 4: Simplify right side
    69,458,340x = 22,879,522,255,726,656
  5. Step 5: Solve for x
    x = 22,879,522,255,726,656/69,458,340
  6. Step 6: Final answer
    x = 329,399,209.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.