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Finding the Third Proportional to 47,751,141 and 102,310,139.63

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Solution

The third proportional to 47,751,141 and 102,310,139.63 is: 219,206,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,751,141 : 102,310,139.63 = 102,310,139.63 : x
  2. Step 2: Convert to fraction form
    47,751,141/102,310,139.63 = 102,310,139.63/x
  3. Step 3: Cross multiply
    47,751,141x = 102,310,139.63 × 102,310,139.63
  4. Step 4: Simplify right side
    47,751,141x = 10,467,364,670,086,996
  5. Step 5: Solve for x
    x = 10,467,364,670,086,996/47,751,141
  6. Step 6: Final answer
    x = 219,206,587.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.