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Finding the Third Proportional to 204,417,525.38 and 445,832,484.75

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Solution

The third proportional to 204,417,525.38 and 445,832,484.75 is: 972,355,986.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,417,525.38 : 445,832,484.75 = 445,832,484.75 : x
  2. Step 2: Convert to fraction form
    204,417,525.38/445,832,484.75 = 445,832,484.75/x
  3. Step 3: Cross multiply
    204,417,525.38x = 445,832,484.75 × 445,832,484.75
  4. Step 4: Simplify right side
    204,417,525.38x = 198,766,604,458,358,976
  5. Step 5: Solve for x
    x = 198,766,604,458,358,976/204,417,525.38
  6. Step 6: Final answer
    x = 972,355,986.08

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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.