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Finding the Third Proportional to 199,050,737,706 and 438,674,355,166.50

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Solution

The third proportional to 199,050,737,706 and 438,674,355,166.50 is: 966,764,514,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,737,706 : 438,674,355,166.50 = 438,674,355,166.50 : x
  2. Step 2: Convert to fraction form
    199,050,737,706/438,674,355,166.50 = 438,674,355,166.50/x
  3. Step 3: Cross multiply
    199,050,737,706x = 438,674,355,166.50 × 438,674,355,166.50
  4. Step 4: Simplify right side
    199,050,737,706x = 192,435,189,880,744,591,753,216
  5. Step 5: Solve for x
    x = 192,435,189,880,744,591,753,216/199,050,737,706
  6. Step 6: Final answer
    x = 966,764,514,909.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.