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Finding the Third Proportional to 227,499,748 and 490,143,222

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Solution

The third proportional to 227,499,748 and 490,143,222 is: 1,056,002,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,499,748 : 490,143,222 = 490,143,222 : x
  2. Step 2: Convert to fraction form
    227,499,748/490,143,222 = 490,143,222/x
  3. Step 3: Cross multiply
    227,499,748x = 490,143,222 × 490,143,222
  4. Step 4: Simplify right side
    227,499,748x = 240,240,378,072,541,280
  5. Step 5: Solve for x
    x = 240,240,378,072,541,280/227,499,748
  6. Step 6: Final answer
    x = 1,056,002,831.58

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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.