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Finding the Third Proportional to 89,031,589 and 193,291,056

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Solution

The third proportional to 89,031,589 and 193,291,056 is: 419,642,429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,031,589 : 193,291,056 = 193,291,056 : x
  2. Step 2: Convert to fraction form
    89,031,589/193,291,056 = 193,291,056/x
  3. Step 3: Cross multiply
    89,031,589x = 193,291,056 × 193,291,056
  4. Step 4: Simplify right side
    89,031,589x = 37,361,432,329,595,136
  5. Step 5: Solve for x
    x = 37,361,432,329,595,136/89,031,589
  6. Step 6: Final answer
    x = 419,642,429.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.