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Finding the Third Proportional to 103,633,880 and 221,616,665

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Solution

The third proportional to 103,633,880 and 221,616,665 is: 473,917,855.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,633,880 : 221,616,665 = 221,616,665 : x
  2. Step 2: Convert to fraction form
    103,633,880/221,616,665 = 221,616,665/x
  3. Step 3: Cross multiply
    103,633,880x = 221,616,665 × 221,616,665
  4. Step 4: Simplify right side
    103,633,880x = 49,113,946,205,722,224
  5. Step 5: Solve for x
    x = 49,113,946,205,722,224/103,633,880
  6. Step 6: Final answer
    x = 473,917,855.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.