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Finding the Third Proportional to 89,801,360 and 193,972,768

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Solution

The third proportional to 89,801,360 and 193,972,768 is: 418,985,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,801,360 : 193,972,768 = 193,972,768 : x
  2. Step 2: Convert to fraction form
    89,801,360/193,972,768 = 193,972,768/x
  3. Step 3: Cross multiply
    89,801,360x = 193,972,768 × 193,972,768
  4. Step 4: Simplify right side
    89,801,360x = 37,625,434,725,581,824
  5. Step 5: Solve for x
    x = 37,625,434,725,581,824/89,801,360
  6. Step 6: Final answer
    x = 418,985,132.58

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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.