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Finding the Third Proportional to 261,731,184 and 550,538,400

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Solution

The third proportional to 261,731,184 and 550,538,400 is: 1,158,029,873.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731,184 : 550,538,400 = 550,538,400 : x
  2. Step 2: Convert to fraction form
    261,731,184/550,538,400 = 550,538,400/x
  3. Step 3: Cross multiply
    261,731,184x = 550,538,400 × 550,538,400
  4. Step 4: Simplify right side
    261,731,184x = 303,092,529,874,560,000
  5. Step 5: Solve for x
    x = 303,092,529,874,560,000/261,731,184
  6. Step 6: Final answer
    x = 1,158,029,873.41

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.