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Finding the Third Proportional to 222,526,748 and 451,342,196

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Solution

The third proportional to 222,526,748 and 451,342,196 is: 915,439,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,526,748 : 451,342,196 = 451,342,196 : x
  2. Step 2: Convert to fraction form
    222,526,748/451,342,196 = 451,342,196/x
  3. Step 3: Cross multiply
    222,526,748x = 451,342,196 × 451,342,196
  4. Step 4: Simplify right side
    222,526,748x = 203,709,777,890,102,400
  5. Step 5: Solve for x
    x = 203,709,777,890,102,400/222,526,748
  6. Step 6: Final answer
    x = 915,439,513.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.