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Finding the Third Proportional to 103,469,946 and 143,865,243

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Solution

The third proportional to 103,469,946 and 143,865,243 is: 200,031,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,469,946 : 143,865,243 = 143,865,243 : x
  2. Step 2: Convert to fraction form
    103,469,946/143,865,243 = 143,865,243/x
  3. Step 3: Cross multiply
    103,469,946x = 143,865,243 × 143,865,243
  4. Step 4: Simplify right side
    103,469,946x = 20,697,208,143,449,048
  5. Step 5: Solve for x
    x = 20,697,208,143,449,048/103,469,946
  6. Step 6: Final answer
    x = 200,031,109.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.