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Finding the Third Proportional to 207,197,170,696 and 450,879,196,325

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Solution

The third proportional to 207,197,170,696 and 450,879,196,325 is: 981,152,633,483.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,197,170,696 : 450,879,196,325 = 450,879,196,325 : x
  2. Step 2: Convert to fraction form
    207,197,170,696/450,879,196,325 = 450,879,196,325/x
  3. Step 3: Cross multiply
    207,197,170,696x = 450,879,196,325 × 450,879,196,325
  4. Step 4: Simplify right side
    207,197,170,696x = 203,292,049,678,677,898,690,560
  5. Step 5: Solve for x
    x = 203,292,049,678,677,898,690,560/207,197,170,696
  6. Step 6: Final answer
    x = 981,152,633,483.34

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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.