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Finding the Third Proportional to 261,731,384 and 550,538,848

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Solution

The third proportional to 261,731,384 and 550,538,848 is: 1,158,030,873.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731,384 : 550,538,848 = 550,538,848 : x
  2. Step 2: Convert to fraction form
    261,731,384/550,538,848 = 550,538,848/x
  3. Step 3: Cross multiply
    261,731,384x = 550,538,848 × 550,538,848
  4. Step 4: Simplify right side
    261,731,384x = 303,093,023,157,167,104
  5. Step 5: Solve for x
    x = 303,093,023,157,167,104/261,731,384
  6. Step 6: Final answer
    x = 1,158,030,873.20

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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.