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Finding the Third Proportional to 47,174,933 and 100,908,000

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Solution

The third proportional to 47,174,933 and 100,908,000 is: 215,843,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,174,933 : 100,908,000 = 100,908,000 : x
  2. Step 2: Convert to fraction form
    47,174,933/100,908,000 = 100,908,000/x
  3. Step 3: Cross multiply
    47,174,933x = 100,908,000 × 100,908,000
  4. Step 4: Simplify right side
    47,174,933x = 10,182,424,464,000,000
  5. Step 5: Solve for x
    x = 10,182,424,464,000,000/47,174,933
  6. Step 6: Final answer
    x = 215,843,962.39

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