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Finding the Third Proportional to 47,266,137 and 102,599,058

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Solution

The third proportional to 47,266,137 and 102,599,058 is: 222,708,420.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266,137 : 102,599,058 = 102,599,058 : x
  2. Step 2: Convert to fraction form
    47,266,137/102,599,058 = 102,599,058/x
  3. Step 3: Cross multiply
    47,266,137x = 102,599,058 × 102,599,058
  4. Step 4: Simplify right side
    47,266,137x = 10,526,566,702,487,364
  5. Step 5: Solve for x
    x = 10,526,566,702,487,364/47,266,137
  6. Step 6: Final answer
    x = 222,708,420.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.