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Finding the Third Proportional to 205,746,890 and 313,443,852

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Solution

The third proportional to 205,746,890 and 313,443,852 is: 477,514,135.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,746,890 : 313,443,852 = 313,443,852 : x
  2. Step 2: Convert to fraction form
    205,746,890/313,443,852 = 313,443,852/x
  3. Step 3: Cross multiply
    205,746,890x = 313,443,852 × 313,443,852
  4. Step 4: Simplify right side
    205,746,890x = 98,247,048,356,597,904
  5. Step 5: Solve for x
    x = 98,247,048,356,597,904/205,746,890
  6. Step 6: Final answer
    x = 477,514,135.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.