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Finding the Third Proportional to 208,887,699,806 and 313,552,642,389

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Solution

The third proportional to 208,887,699,806 and 313,552,642,389 is: 470,660,836,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,887,699,806 : 313,552,642,389 = 313,552,642,389 : x
  2. Step 2: Convert to fraction form
    208,887,699,806/313,552,642,389 = 313,552,642,389/x
  3. Step 3: Cross multiply
    208,887,699,806x = 313,552,642,389 × 313,552,642,389
  4. Step 4: Simplify right side
    208,887,699,806x = 98,315,259,549,124,116,086,784
  5. Step 5: Solve for x
    x = 98,315,259,549,124,116,086,784/208,887,699,806
  6. Step 6: Final answer
    x = 470,660,836,614.28

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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.