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Finding the Third Proportional to 43,168,337,414 and 96,262,474,444

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Solution

The third proportional to 43,168,337,414 and 96,262,474,444 is: 214,658,811,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,168,337,414 : 96,262,474,444 = 96,262,474,444 : x
  2. Step 2: Convert to fraction form
    43,168,337,414/96,262,474,444 = 96,262,474,444/x
  3. Step 3: Cross multiply
    43,168,337,414x = 96,262,474,444 × 96,262,474,444
  4. Step 4: Simplify right side
    43,168,337,414x = 9,266,463,986,081,752,678,400
  5. Step 5: Solve for x
    x = 9,266,463,986,081,752,678,400/43,168,337,414
  6. Step 6: Final answer
    x = 214,658,811,091.40

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.