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Finding the Third Proportional to 227,499,742 and 490,143,213

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Solution

The third proportional to 227,499,742 and 490,143,213 is: 1,056,002,820.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,499,742 : 490,143,213 = 490,143,213 : x
  2. Step 2: Convert to fraction form
    227,499,742/490,143,213 = 490,143,213/x
  3. Step 3: Cross multiply
    227,499,742x = 490,143,213 × 490,143,213
  4. Step 4: Simplify right side
    227,499,742x = 240,240,369,249,963,360
  5. Step 5: Solve for x
    x = 240,240,369,249,963,360/227,499,742
  6. Step 6: Final answer
    x = 1,056,002,820.65

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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.