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Finding the Third Proportional to 208,887,699,804 and 313,552,642,386

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Solution

The third proportional to 208,887,699,804 and 313,552,642,386 is: 470,660,836,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,887,699,804 : 313,552,642,386 = 313,552,642,386 : x
  2. Step 2: Convert to fraction form
    208,887,699,804/313,552,642,386 = 313,552,642,386/x
  3. Step 3: Cross multiply
    208,887,699,804x = 313,552,642,386 × 313,552,642,386
  4. Step 4: Simplify right side
    208,887,699,804x = 98,315,259,547,242,802,970,624
  5. Step 5: Solve for x
    x = 98,315,259,547,242,802,970,624/208,887,699,804
  6. Step 6: Final answer
    x = 470,660,836,609.78

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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.