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Finding the Third Proportional to 105,717,482 and 227,630,017

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Solution

The third proportional to 105,717,482 and 227,630,017 is: 490,131,089.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717,482 : 227,630,017 = 227,630,017 : x
  2. Step 2: Convert to fraction form
    105,717,482/227,630,017 = 227,630,017/x
  3. Step 3: Cross multiply
    105,717,482x = 227,630,017 × 227,630,017
  4. Step 4: Simplify right side
    105,717,482x = 51,815,424,639,420,288
  5. Step 5: Solve for x
    x = 51,815,424,639,420,288/105,717,482
  6. Step 6: Final answer
    x = 490,131,089.57

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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.