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Finding the Third Proportional to 97,194,947 and 212,542,061

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Solution

The third proportional to 97,194,947 and 212,542,061 is: 464,778,561.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,194,947 : 212,542,061 = 212,542,061 : x
  2. Step 2: Convert to fraction form
    97,194,947/212,542,061 = 212,542,061/x
  3. Step 3: Cross multiply
    97,194,947x = 212,542,061 × 212,542,061
  4. Step 4: Simplify right side
    97,194,947x = 45,174,127,694,127,720
  5. Step 5: Solve for x
    x = 45,174,127,694,127,720/97,194,947
  6. Step 6: Final answer
    x = 464,778,561.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.