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Finding the Third Proportional to 105,864,959 and 229,317,286

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Solution

The third proportional to 105,864,959 and 229,317,286 is: 496,731,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,864,959 : 229,317,286 = 229,317,286 : x
  2. Step 2: Convert to fraction form
    105,864,959/229,317,286 = 229,317,286/x
  3. Step 3: Cross multiply
    105,864,959x = 229,317,286 × 229,317,286
  4. Step 4: Simplify right side
    105,864,959x = 52,586,417,658,405,792
  5. Step 5: Solve for x
    x = 52,586,417,658,405,792/105,864,959
  6. Step 6: Final answer
    x = 496,731,101.16

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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.