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Finding the Third Proportional to 146,236,386 and 214,876,680

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Solution

The third proportional to 146,236,386 and 214,876,680 is: 315,735,289.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236,386 : 214,876,680 = 214,876,680 : x
  2. Step 2: Convert to fraction form
    146,236,386/214,876,680 = 214,876,680/x
  3. Step 3: Cross multiply
    146,236,386x = 214,876,680 × 214,876,680
  4. Step 4: Simplify right side
    146,236,386x = 46,171,987,607,822,400
  5. Step 5: Solve for x
    x = 46,171,987,607,822,400/146,236,386
  6. Step 6: Final answer
    x = 315,735,289.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.