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Finding the Third Proportional to 97,195,203 and 198,300,759.75

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Solution

The third proportional to 97,195,203 and 198,300,759.75 is: 404,579,548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,195,203 : 198,300,759.75 = 198,300,759.75 : x
  2. Step 2: Convert to fraction form
    97,195,203/198,300,759.75 = 198,300,759.75/x
  3. Step 3: Cross multiply
    97,195,203x = 198,300,759.75 × 198,300,759.75
  4. Step 4: Simplify right side
    97,195,203x = 39,323,191,317,427,224
  5. Step 5: Solve for x
    x = 39,323,191,317,427,224/97,195,203
  6. Step 6: Final answer
    x = 404,579,548.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.