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Finding the Third Proportional to 47,456,988 and 102,067,896

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Solution

The third proportional to 47,456,988 and 102,067,896 is: 219,522,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,456,988 : 102,067,896 = 102,067,896 : x
  2. Step 2: Convert to fraction form
    47,456,988/102,067,896 = 102,067,896/x
  3. Step 3: Cross multiply
    47,456,988x = 102,067,896 × 102,067,896
  4. Step 4: Simplify right side
    47,456,988x = 10,417,855,393,866,816
  5. Step 5: Solve for x
    x = 10,417,855,393,866,816/47,456,988
  6. Step 6: Final answer
    x = 219,522,052.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.