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Finding the Third Proportional to 208,066,359 and 324,012,859.50

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Solution

The third proportional to 208,066,359 and 324,012,859.50 is: 504,571,395.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066,359 : 324,012,859.50 = 324,012,859.50 : x
  2. Step 2: Convert to fraction form
    208,066,359/324,012,859.50 = 324,012,859.50/x
  3. Step 3: Cross multiply
    208,066,359x = 324,012,859.50 × 324,012,859.50
  4. Step 4: Simplify right side
    208,066,359x = 104,984,333,121,366,736
  5. Step 5: Solve for x
    x = 104,984,333,121,366,736/208,066,359
  6. Step 6: Final answer
    x = 504,571,395.52

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.