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Finding the Third Proportional to 52,424,188 and 114,052,351

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Solution

The third proportional to 52,424,188 and 114,052,351 is: 248,128,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424,188 : 114,052,351 = 114,052,351 : x
  2. Step 2: Convert to fraction form
    52,424,188/114,052,351 = 114,052,351/x
  3. Step 3: Cross multiply
    52,424,188x = 114,052,351 × 114,052,351
  4. Step 4: Simplify right side
    52,424,188x = 13,007,938,768,627,200
  5. Step 5: Solve for x
    x = 13,007,938,768,627,200/52,424,188
  6. Step 6: Final answer
    x = 248,128,569.37

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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.