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Finding the Third Proportional to 89,307,166 and 192,298,527.75

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Solution

The third proportional to 89,307,166 and 192,298,527.75 is: 414,062,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307,166 : 192,298,527.75 = 192,298,527.75 : x
  2. Step 2: Convert to fraction form
    89,307,166/192,298,527.75 = 192,298,527.75/x
  3. Step 3: Cross multiply
    89,307,166x = 192,298,527.75 × 192,298,527.75
  4. Step 4: Simplify right side
    89,307,166x = 36,978,723,774,817,520
  5. Step 5: Solve for x
    x = 36,978,723,774,817,520/89,307,166
  6. Step 6: Final answer
    x = 414,062,224.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.