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Finding the Third Proportional to 89,273,168,143 and 192,747,757,365

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Solution

The third proportional to 89,273,168,143 and 192,747,757,365 is: 416,157,494,374.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,273,168,143 : 192,747,757,365 = 192,747,757,365 : x
  2. Step 2: Convert to fraction form
    89,273,168,143/192,747,757,365 = 192,747,757,365/x
  3. Step 3: Cross multiply
    89,273,168,143x = 192,747,757,365 × 192,747,757,365
  4. Step 4: Simplify right side
    89,273,168,143x = 37,151,697,969,236,913,684,480
  5. Step 5: Solve for x
    x = 37,151,697,969,236,913,684,480/89,273,168,143
  6. Step 6: Final answer
    x = 416,157,494,374.19

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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.