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Finding the Third Proportional to 105,892,404 and 229,368,396

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Solution

The third proportional to 105,892,404 and 229,368,396 is: 496,823,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,404 : 229,368,396 = 229,368,396 : x
  2. Step 2: Convert to fraction form
    105,892,404/229,368,396 = 229,368,396/x
  3. Step 3: Cross multiply
    105,892,404x = 229,368,396 × 229,368,396
  4. Step 4: Simplify right side
    105,892,404x = 52,609,861,083,612,816
  5. Step 5: Solve for x
    x = 52,609,861,083,612,816/105,892,404
  6. Step 6: Final answer
    x = 496,823,748.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.