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Finding the Third Proportional to 89,273,168,148 and 192,747,757,374

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Solution

The third proportional to 89,273,168,148 and 192,747,757,374 is: 416,157,494,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,273,168,148 : 192,747,757,374 = 192,747,757,374 : x
  2. Step 2: Convert to fraction form
    89,273,168,148/192,747,757,374 = 192,747,757,374/x
  3. Step 3: Cross multiply
    89,273,168,148x = 192,747,757,374 × 192,747,757,374
  4. Step 4: Simplify right side
    89,273,168,148x = 37,151,697,972,706,370,650,112
  5. Step 5: Solve for x
    x = 37,151,697,972,706,370,650,112/89,273,168,148
  6. Step 6: Final answer
    x = 416,157,494,389.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.