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Finding the Third Proportional to 255,492,783 and 382,814,131.50

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Solution

The third proportional to 255,492,783 and 382,814,131.50 is: 573,584,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,492,783 : 382,814,131.50 = 382,814,131.50 : x
  2. Step 2: Convert to fraction form
    255,492,783/382,814,131.50 = 382,814,131.50/x
  3. Step 3: Cross multiply
    255,492,783x = 382,814,131.50 × 382,814,131.50
  4. Step 4: Simplify right side
    255,492,783x = 146,546,659,276,099,296
  5. Step 5: Solve for x
    x = 146,546,659,276,099,296/255,492,783
  6. Step 6: Final answer
    x = 573,584,339.86

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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.