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Finding the Third Proportional to 265,978,956,230.43 and 397,225,497,635.70

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Solution

The third proportional to 265,978,956,230.43 and 397,225,497,635.70 is: 593,235,262,699.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,978,956,230.43 : 397,225,497,635.70 = 397,225,497,635.70 : x
  2. Step 2: Convert to fraction form
    265,978,956,230.43/397,225,497,635.70 = 397,225,497,635.70/x
  3. Step 3: Cross multiply
    265,978,956,230.43x = 397,225,497,635.70 × 397,225,497,635.70
  4. Step 4: Simplify right side
    265,978,956,230.43x = 157,788,095,971,929,530,302,464
  5. Step 5: Solve for x
    x = 157,788,095,971,929,530,302,464/265,978,956,230.43
  6. Step 6: Final answer
    x = 593,235,262,699.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.