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Finding the Third Proportional to 96,234,643.75 and 197,570,978.25

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Solution

The third proportional to 96,234,643.75 and 197,570,978.25 is: 405,615,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,234,643.75 : 197,570,978.25 = 197,570,978.25 : x
  2. Step 2: Convert to fraction form
    96,234,643.75/197,570,978.25 = 197,570,978.25/x
  3. Step 3: Cross multiply
    96,234,643.75x = 197,570,978.25 × 197,570,978.25
  4. Step 4: Simplify right side
    96,234,643.75x = 39,034,291,446,661,976
  5. Step 5: Solve for x
    x = 39,034,291,446,661,976/96,234,643.75
  6. Step 6: Final answer
    x = 405,615,794.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.