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Finding the Third Proportional to 47,266,098 and 102,598,986

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Solution

The third proportional to 47,266,098 and 102,598,986 is: 222,708,291.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,266,098 : 102,598,986 = 102,598,986 : x
  2. Step 2: Convert to fraction form
    47,266,098/102,598,986 = 102,598,986/x
  3. Step 3: Cross multiply
    47,266,098x = 102,598,986 × 102,598,986
  4. Step 4: Simplify right side
    47,266,098x = 10,526,551,928,228,196
  5. Step 5: Solve for x
    x = 10,526,551,928,228,196/47,266,098
  6. Step 6: Final answer
    x = 222,708,291.43

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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.