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Finding the Third Proportional to 169,865,043,196 and 254,549,086,554

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Solution

The third proportional to 169,865,043,196 and 254,549,086,554 is: 381,451,275,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,865,043,196 : 254,549,086,554 = 254,549,086,554 : x
  2. Step 2: Convert to fraction form
    169,865,043,196/254,549,086,554 = 254,549,086,554/x
  3. Step 3: Cross multiply
    169,865,043,196x = 254,549,086,554 × 254,549,086,554
  4. Step 4: Simplify right side
    169,865,043,196x = 64,795,237,465,475,782,803,456
  5. Step 5: Solve for x
    x = 64,795,237,465,475,782,803,456/169,865,043,196
  6. Step 6: Final answer
    x = 381,451,275,944.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.