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Finding the Third Proportional to 52,424,182 and 114,052,339

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Solution

The third proportional to 52,424,182 and 114,052,339 is: 248,128,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424,182 : 114,052,339 = 114,052,339 : x
  2. Step 2: Convert to fraction form
    52,424,182/114,052,339 = 114,052,339/x
  3. Step 3: Cross multiply
    52,424,182x = 114,052,339 × 114,052,339
  4. Step 4: Simplify right side
    52,424,182x = 13,007,936,031,370,920
  5. Step 5: Solve for x
    x = 13,007,936,031,370,920/52,424,182
  6. Step 6: Final answer
    x = 248,128,545.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.