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Finding the Third Proportional to 231,026,517 and 544,819,840.88

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Solution

The third proportional to 231,026,517 and 544,819,840.88 is: 1,284,825,061.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,026,517 : 544,819,840.88 = 544,819,840.88 : x
  2. Step 2: Convert to fraction form
    231,026,517/544,819,840.88 = 544,819,840.88/x
  3. Step 3: Cross multiply
    231,026,517x = 544,819,840.88 × 544,819,840.88
  4. Step 4: Simplify right side
    231,026,517x = 296,828,659,011,060,352
  5. Step 5: Solve for x
    x = 296,828,659,011,060,352/231,026,517
  6. Step 6: Final answer
    x = 1,284,825,061.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.