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Finding the Third Proportional to 90,405,534 and 196,222,842

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Solution

The third proportional to 90,405,534 and 196,222,842 is: 425,896,535.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,405,534 : 196,222,842 = 196,222,842 : x
  2. Step 2: Convert to fraction form
    90,405,534/196,222,842 = 196,222,842/x
  3. Step 3: Cross multiply
    90,405,534x = 196,222,842 × 196,222,842
  4. Step 4: Simplify right side
    90,405,534x = 38,503,403,722,556,960
  5. Step 5: Solve for x
    x = 38,503,403,722,556,960/90,405,534
  6. Step 6: Final answer
    x = 425,896,535.52

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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.