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Finding the Third Proportional to 196,438,241.81 and 427,752,300.94

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Solution

The third proportional to 196,438,241.81 and 427,752,300.94 is: 931,448,119.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,438,241.81 : 427,752,300.94 = 427,752,300.94 : x
  2. Step 2: Convert to fraction form
    196,438,241.81/427,752,300.94 = 427,752,300.94/x
  3. Step 3: Cross multiply
    196,438,241.81x = 427,752,300.94 × 427,752,300.94
  4. Step 4: Simplify right side
    196,438,241.81x = 182,972,030,957,325,568
  5. Step 5: Solve for x
    x = 182,972,030,957,325,568/196,438,241.81
  6. Step 6: Final answer
    x = 931,448,119.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.