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Finding the Third Proportional to 149,169,812 and 325,435,704

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Solution

The third proportional to 149,169,812 and 325,435,704 is: 709,985,458.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,169,812 : 325,435,704 = 325,435,704 : x
  2. Step 2: Convert to fraction form
    149,169,812/325,435,704 = 325,435,704/x
  3. Step 3: Cross multiply
    149,169,812x = 325,435,704 × 325,435,704
  4. Step 4: Simplify right side
    149,169,812x = 105,908,397,437,975,616
  5. Step 5: Solve for x
    x = 105,908,397,437,975,616/149,169,812
  6. Step 6: Final answer
    x = 709,985,458.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.