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Finding the Third Proportional to 261,731,108 and 550,538,248

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Solution

The third proportional to 261,731,108 and 550,538,248 is: 1,158,029,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,731,108 : 550,538,248 = 550,538,248 : x
  2. Step 2: Convert to fraction form
    261,731,108/550,538,248 = 550,538,248/x
  3. Step 3: Cross multiply
    261,731,108x = 550,538,248 × 550,538,248
  4. Step 4: Simplify right side
    261,731,108x = 303,092,362,510,909,504
  5. Step 5: Solve for x
    x = 303,092,362,510,909,504/261,731,108
  6. Step 6: Final answer
    x = 1,158,029,570.22

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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.