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Finding the Third Proportional to 103,673,576 and 222,732,591

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Solution

The third proportional to 103,673,576 and 222,732,591 is: 478,519,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,673,576 : 222,732,591 = 222,732,591 : x
  2. Step 2: Convert to fraction form
    103,673,576/222,732,591 = 222,732,591/x
  3. Step 3: Cross multiply
    103,673,576x = 222,732,591 × 222,732,591
  4. Step 4: Simplify right side
    103,673,576x = 49,609,807,093,573,280
  5. Step 5: Solve for x
    x = 49,609,807,093,573,280/103,673,576
  6. Step 6: Final answer
    x = 478,519,300.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.