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Finding the Third Proportional to 105,892,403 and 229,368,394

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Solution

The third proportional to 105,892,403 and 229,368,394 is: 496,823,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,403 : 229,368,394 = 229,368,394 : x
  2. Step 2: Convert to fraction form
    105,892,403/229,368,394 = 229,368,394/x
  3. Step 3: Cross multiply
    105,892,403x = 229,368,394 × 229,368,394
  4. Step 4: Simplify right side
    105,892,403x = 52,609,860,166,139,232
  5. Step 5: Solve for x
    x = 52,609,860,166,139,232/105,892,403
  6. Step 6: Final answer
    x = 496,823,744.44

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Why These Related Problems?

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