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Finding the Third Proportional to 227,311,092 and 490,996,602

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Solution

The third proportional to 227,311,092 and 490,996,602 is: 1,060,562,689.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,311,092 : 490,996,602 = 490,996,602 : x
  2. Step 2: Convert to fraction form
    227,311,092/490,996,602 = 490,996,602/x
  3. Step 3: Cross multiply
    227,311,092x = 490,996,602 × 490,996,602
  4. Step 4: Simplify right side
    227,311,092x = 241,077,663,175,546,400
  5. Step 5: Solve for x
    x = 241,077,663,175,546,400/227,311,092
  6. Step 6: Final answer
    x = 1,060,562,689.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.