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Finding the Third Proportional to 255,492,796 and 382,814,150

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Solution

The third proportional to 255,492,796 and 382,814,150 is: 573,584,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,492,796 : 382,814,150 = 382,814,150 : x
  2. Step 2: Convert to fraction form
    255,492,796/382,814,150 = 382,814,150/x
  3. Step 3: Cross multiply
    255,492,796x = 382,814,150 × 382,814,150
  4. Step 4: Simplify right side
    255,492,796x = 146,546,673,440,222,496
  5. Step 5: Solve for x
    x = 146,546,673,440,222,496/255,492,796
  6. Step 6: Final answer
    x = 573,584,366.11

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