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Finding the Third Proportional to 188,203,565 and 407,673,575

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Solution

The third proportional to 188,203,565 and 407,673,575 is: 883,074,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,203,565 : 407,673,575 = 407,673,575 : x
  2. Step 2: Convert to fraction form
    188,203,565/407,673,575 = 407,673,575/x
  3. Step 3: Cross multiply
    188,203,565x = 407,673,575 × 407,673,575
  4. Step 4: Simplify right side
    188,203,565x = 166,197,743,753,280,640
  5. Step 5: Solve for x
    x = 166,197,743,753,280,640/188,203,565
  6. Step 6: Final answer
    x = 883,074,365.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.