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Finding the Third Proportional to 90,546,120 and 196,404,369.75

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Solution

The third proportional to 90,546,120 and 196,404,369.75 is: 426,022,412.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,546,120 : 196,404,369.75 = 196,404,369.75 : x
  2. Step 2: Convert to fraction form
    90,546,120/196,404,369.75 = 196,404,369.75/x
  3. Step 3: Cross multiply
    90,546,120x = 196,404,369.75 × 196,404,369.75
  4. Step 4: Simplify right side
    90,546,120x = 38,574,676,456,894,712
  5. Step 5: Solve for x
    x = 38,574,676,456,894,712/90,546,120
  6. Step 6: Final answer
    x = 426,022,412.19

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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.