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Finding the Third Proportional to 103,640,871 and 154,890,106

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Solution

The third proportional to 103,640,871 and 154,890,106 is: 231,481,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640,871 : 154,890,106 = 154,890,106 : x
  2. Step 2: Convert to fraction form
    103,640,871/154,890,106 = 154,890,106/x
  3. Step 3: Cross multiply
    103,640,871x = 154,890,106 × 154,890,106
  4. Step 4: Simplify right side
    103,640,871x = 23,990,944,936,691,236
  5. Step 5: Solve for x
    x = 23,990,944,936,691,236/103,640,871
  6. Step 6: Final answer
    x = 231,481,506.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.