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Finding the Third Proportional to 199,050,737,708 and 438,674,355,171

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Solution

The third proportional to 199,050,737,708 and 438,674,355,171 is: 966,764,514,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,050,737,708 : 438,674,355,171 = 438,674,355,171 : x
  2. Step 2: Convert to fraction form
    199,050,737,708/438,674,355,171 = 438,674,355,171/x
  3. Step 3: Cross multiply
    199,050,737,708x = 438,674,355,171 × 438,674,355,171
  4. Step 4: Simplify right side
    199,050,737,708x = 192,435,189,884,692,639,776,768
  5. Step 5: Solve for x
    x = 192,435,189,884,692,639,776,768/199,050,737,708
  6. Step 6: Final answer
    x = 966,764,514,919.75

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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.