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Finding the Third Proportional to 89,736,005,370 and 193,799,789,950

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Solution

The third proportional to 89,736,005,370 and 193,799,789,950 is: 418,542,795,946.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736,005,370 : 193,799,789,950 = 193,799,789,950 : x
  2. Step 2: Convert to fraction form
    89,736,005,370/193,799,789,950 = 193,799,789,950/x
  3. Step 3: Cross multiply
    89,736,005,370x = 193,799,789,950 × 193,799,789,950
  4. Step 4: Simplify right side
    89,736,005,370x = 37,558,358,584,664,122,195,968
  5. Step 5: Solve for x
    x = 37,558,358,584,664,122,195,968/89,736,005,370
  6. Step 6: Final answer
    x = 418,542,795,946.88

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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.