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Finding the Third Proportional to 89,736,005,360 and 193,799,789,930

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Solution

The third proportional to 89,736,005,360 and 193,799,789,930 is: 418,542,795,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736,005,360 : 193,799,789,930 = 193,799,789,930 : x
  2. Step 2: Convert to fraction form
    89,736,005,360/193,799,789,930 = 193,799,789,930/x
  3. Step 3: Cross multiply
    89,736,005,360x = 193,799,789,930 × 193,799,789,930
  4. Step 4: Simplify right side
    89,736,005,360x = 37,558,358,576,912,129,851,392
  5. Step 5: Solve for x
    x = 37,558,358,576,912,129,851,392/89,736,005,360
  6. Step 6: Final answer
    x = 418,542,795,907.14

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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.