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Finding the Third Proportional to 47,999,470 and 105,341,656

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Solution

The third proportional to 47,999,470 and 105,341,656 is: 231,187,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,999,470 : 105,341,656 = 105,341,656 : x
  2. Step 2: Convert to fraction form
    47,999,470/105,341,656 = 105,341,656/x
  3. Step 3: Cross multiply
    47,999,470x = 105,341,656 × 105,341,656
  4. Step 4: Simplify right side
    47,999,470x = 11,096,864,488,822,336
  5. Step 5: Solve for x
    x = 11,096,864,488,822,336/47,999,470
  6. Step 6: Final answer
    x = 231,187,229.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.