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Finding the Third Proportional to 69,835,336 and 141,661,940

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Solution

The third proportional to 69,835,336 and 141,661,940 is: 287,363,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,336 : 141,661,940 = 141,661,940 : x
  2. Step 2: Convert to fraction form
    69,835,336/141,661,940 = 141,661,940/x
  3. Step 3: Cross multiply
    69,835,336x = 141,661,940 × 141,661,940
  4. Step 4: Simplify right side
    69,835,336x = 20,068,105,244,563,600
  5. Step 5: Solve for x
    x = 20,068,105,244,563,600/69,835,336
  6. Step 6: Final answer
    x = 287,363,194.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.