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Finding the Third Proportional to 222,939,542 and 466,206,702

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Solution

The third proportional to 222,939,542 and 466,206,702 is: 974,922,111.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,939,542 : 466,206,702 = 466,206,702 : x
  2. Step 2: Convert to fraction form
    222,939,542/466,206,702 = 466,206,702/x
  3. Step 3: Cross multiply
    222,939,542x = 466,206,702 × 466,206,702
  4. Step 4: Simplify right side
    222,939,542x = 217,348,688,989,716,800
  5. Step 5: Solve for x
    x = 217,348,688,989,716,800/222,939,542
  6. Step 6: Final answer
    x = 974,922,111.35

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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.