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Finding the Third Proportional to 261,731,106 and 550,538,244

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Solution

The third proportional to 261,731,106 and 550,538,244 is: 1,158,029,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731,106 : 550,538,244 = 550,538,244 : x
  2. Step 2: Convert to fraction form
    261,731,106/550,538,244 = 550,538,244/x
  3. Step 3: Cross multiply
    261,731,106x = 550,538,244 × 550,538,244
  4. Step 4: Simplify right side
    261,731,106x = 303,092,358,106,603,520
  5. Step 5: Solve for x
    x = 303,092,358,106,603,520/261,731,106
  6. Step 6: Final answer
    x = 1,158,029,562.24

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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.