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Finding the Third Proportional to 91,202.63 and 197,106.75

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Solution

The third proportional to 91,202.63 and 197,106.75 is: 425,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,202.63 : 197,106.75 = 197,106.75 : x
  2. Step 2: Convert to fraction form
    91,202.63/197,106.75 = 197,106.75/x
  3. Step 3: Cross multiply
    91,202.63x = 197,106.75 × 197,106.75
  4. Step 4: Simplify right side
    91,202.63x = 38,851,070,895.56
  5. Step 5: Solve for x
    x = 38,851,070,895.56/91,202.63
  6. Step 6: Final answer
    x = 425,986.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.