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Finding the Third Proportional to 47,851,063 and 104,966,174

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Solution

The third proportional to 47,851,063 and 104,966,174 is: 230,253,979.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,851,063 : 104,966,174 = 104,966,174 : x
  2. Step 2: Convert to fraction form
    47,851,063/104,966,174 = 104,966,174/x
  3. Step 3: Cross multiply
    47,851,063x = 104,966,174 × 104,966,174
  4. Step 4: Simplify right side
    47,851,063x = 11,017,897,684,198,276
  5. Step 5: Solve for x
    x = 11,017,897,684,198,276/47,851,063
  6. Step 6: Final answer
    x = 230,253,979.61

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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.