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Finding the Third Proportional to 89,273,168,134 and 192,747,757,348

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Solution

The third proportional to 89,273,168,134 and 192,747,757,348 is: 416,157,494,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,273,168,134 : 192,747,757,348 = 192,747,757,348 : x
  2. Step 2: Convert to fraction form
    89,273,168,134/192,747,757,348 = 192,747,757,348/x
  3. Step 3: Cross multiply
    89,273,168,134x = 192,747,757,348 × 192,747,757,348
  4. Step 4: Simplify right side
    89,273,168,134x = 37,151,697,962,683,489,845,248
  5. Step 5: Solve for x
    x = 37,151,697,962,683,489,845,248/89,273,168,134
  6. Step 6: Final answer
    x = 416,157,494,342.74

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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.