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Finding the Third Proportional to 89,736,005,355 and 193,799,789,922

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Solution

The third proportional to 89,736,005,355 and 193,799,789,922 is: 418,542,795,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,736,005,355 : 193,799,789,922 = 193,799,789,922 : x
  2. Step 2: Convert to fraction form
    89,736,005,355/193,799,789,922 = 193,799,789,922/x
  3. Step 3: Cross multiply
    89,736,005,355x = 193,799,789,922 × 193,799,789,922
  4. Step 4: Simplify right side
    89,736,005,355x = 37,558,358,573,811,331,235,840
  5. Step 5: Solve for x
    x = 37,558,358,573,811,331,235,840/89,736,005,355
  6. Step 6: Final answer
    x = 418,542,795,895.90

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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.