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Finding the Third Proportional to 209,683,023 and 328,214,059.50

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Solution

The third proportional to 209,683,023 and 328,214,059.50 is: 513,749,121.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,683,023 : 328,214,059.50 = 328,214,059.50 : x
  2. Step 2: Convert to fraction form
    209,683,023/328,214,059.50 = 328,214,059.50/x
  3. Step 3: Cross multiply
    209,683,023x = 328,214,059.50 × 328,214,059.50
  4. Step 4: Simplify right side
    209,683,023x = 107,724,468,853,469,536
  5. Step 5: Solve for x
    x = 107,724,468,853,469,536/209,683,023
  6. Step 6: Final answer
    x = 513,749,121.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.