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Finding the Third Proportional to 193,905,477 and 414,684,790

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Solution

The third proportional to 193,905,477 and 414,684,790 is: 886,841,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,905,477 : 414,684,790 = 414,684,790 : x
  2. Step 2: Convert to fraction form
    193,905,477/414,684,790 = 414,684,790/x
  3. Step 3: Cross multiply
    193,905,477x = 414,684,790 × 414,684,790
  4. Step 4: Simplify right side
    193,905,477x = 171,963,475,057,344,096
  5. Step 5: Solve for x
    x = 171,963,475,057,344,096/193,905,477
  6. Step 6: Final answer
    x = 886,841,762.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.