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Finding the Third Proportional to 250,259,416 and 523,400,144

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Solution

The third proportional to 250,259,416 and 523,400,144 is: 1,094,654,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,259,416 : 523,400,144 = 523,400,144 : x
  2. Step 2: Convert to fraction form
    250,259,416/523,400,144 = 523,400,144/x
  3. Step 3: Cross multiply
    250,259,416x = 523,400,144 × 523,400,144
  4. Step 4: Simplify right side
    250,259,416x = 273,947,710,739,220,736
  5. Step 5: Solve for x
    x = 273,947,710,739,220,736/250,259,416
  6. Step 6: Final answer
    x = 1,094,654,958.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.