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Finding the Third Proportional to 208,887,699,810 and 313,552,642,395

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Solution

The third proportional to 208,887,699,810 and 313,552,642,395 is: 470,660,836,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,887,699,810 : 313,552,642,395 = 313,552,642,395 : x
  2. Step 2: Convert to fraction form
    208,887,699,810/313,552,642,395 = 313,552,642,395/x
  3. Step 3: Cross multiply
    208,887,699,810x = 313,552,642,395 × 313,552,642,395
  4. Step 4: Simplify right side
    208,887,699,810x = 98,315,259,552,886,759,096,320
  5. Step 5: Solve for x
    x = 98,315,259,552,886,759,096,320/208,887,699,810
  6. Step 6: Final answer
    x = 470,660,836,623.28

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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.