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Finding the Third Proportional to 101,684,271 and 222,382,320

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Solution

The third proportional to 101,684,271 and 222,382,320 is: 486,347,551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,684,271 : 222,382,320 = 222,382,320 : x
  2. Step 2: Convert to fraction form
    101,684,271/222,382,320 = 222,382,320/x
  3. Step 3: Cross multiply
    101,684,271x = 222,382,320 × 222,382,320
  4. Step 4: Simplify right side
    101,684,271x = 49,453,896,248,582,400
  5. Step 5: Solve for x
    x = 49,453,896,248,582,400/101,684,271
  6. Step 6: Final answer
    x = 486,347,551.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.