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Finding the Third Proportional to 89,346,690 and 193,529,532

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Solution

The third proportional to 89,346,690 and 193,529,532 is: 419,194,933.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,346,690 : 193,529,532 = 193,529,532 : x
  2. Step 2: Convert to fraction form
    89,346,690/193,529,532 = 193,529,532/x
  3. Step 3: Cross multiply
    89,346,690x = 193,529,532 × 193,529,532
  4. Step 4: Simplify right side
    89,346,690x = 37,453,679,756,139,024
  5. Step 5: Solve for x
    x = 37,453,679,756,139,024/89,346,690
  6. Step 6: Final answer
    x = 419,194,933.31

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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.