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Finding the Third Proportional to 222,939,543 and 466,206,705

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Solution

The third proportional to 222,939,543 and 466,206,705 is: 974,922,119.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939,543 : 466,206,705 = 466,206,705 : x
  2. Step 2: Convert to fraction form
    222,939,543/466,206,705 = 466,206,705/x
  3. Step 3: Cross multiply
    222,939,543x = 466,206,705 × 466,206,705
  4. Step 4: Simplify right side
    222,939,543x = 217,348,691,786,957,024
  5. Step 5: Solve for x
    x = 217,348,691,786,957,024/222,939,543
  6. Step 6: Final answer
    x = 974,922,119.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.