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Finding the Third Proportional to 209,901,480 and 329,243,652

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Solution

The third proportional to 209,901,480 and 329,243,652 is: 516,439,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901,480 : 329,243,652 = 329,243,652 : x
  2. Step 2: Convert to fraction form
    209,901,480/329,243,652 = 329,243,652/x
  3. Step 3: Cross multiply
    209,901,480x = 329,243,652 × 329,243,652
  4. Step 4: Simplify right side
    209,901,480x = 108,401,382,382,297,104
  5. Step 5: Solve for x
    x = 108,401,382,382,297,104/209,901,480
  6. Step 6: Final answer
    x = 516,439,342.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.