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Finding the Third Proportional to 105,717,480 and 227,630,013

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Solution

The third proportional to 105,717,480 and 227,630,013 is: 490,131,081.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717,480 : 227,630,013 = 227,630,013 : x
  2. Step 2: Convert to fraction form
    105,717,480/227,630,013 = 227,630,013/x
  3. Step 3: Cross multiply
    105,717,480x = 227,630,013 × 227,630,013
  4. Step 4: Simplify right side
    105,717,480x = 51,815,422,818,380,168
  5. Step 5: Solve for x
    x = 51,815,422,818,380,168/105,717,480
  6. Step 6: Final answer
    x = 490,131,081.62

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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.