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Finding the Third Proportional to 208,887,699,807 and 313,552,642,390.50

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Solution

The third proportional to 208,887,699,807 and 313,552,642,390.50 is: 470,660,836,616.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,887,699,807 : 313,552,642,390.50 = 313,552,642,390.50 : x
  2. Step 2: Convert to fraction form
    208,887,699,807/313,552,642,390.50 = 313,552,642,390.50/x
  3. Step 3: Cross multiply
    208,887,699,807x = 313,552,642,390.50 × 313,552,642,390.50
  4. Step 4: Simplify right side
    208,887,699,807x = 98,315,259,550,064,781,033,472
  5. Step 5: Solve for x
    x = 98,315,259,550,064,781,033,472/208,887,699,807
  6. Step 6: Final answer
    x = 470,660,836,616.53

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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.