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Finding the Third Proportional to 105,892,512 and 229,368,600

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Solution

The third proportional to 105,892,512 and 229,368,600 is: 496,824,125.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,512 : 229,368,600 = 229,368,600 : x
  2. Step 2: Convert to fraction form
    105,892,512/229,368,600 = 229,368,600/x
  3. Step 3: Cross multiply
    105,892,512x = 229,368,600 × 229,368,600
  4. Step 4: Simplify right side
    105,892,512x = 52,609,954,665,960,000
  5. Step 5: Solve for x
    x = 52,609,954,665,960,000/105,892,512
  6. Step 6: Final answer
    x = 496,824,125.45

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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.