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Finding the Third Proportional to 102,299,634 and 219,190,932

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Solution

The third proportional to 102,299,634 and 219,190,932 is: 469,646,496.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,299,634 : 219,190,932 = 219,190,932 : x
  2. Step 2: Convert to fraction form
    102,299,634/219,190,932 = 219,190,932/x
  3. Step 3: Cross multiply
    102,299,634x = 219,190,932 × 219,190,932
  4. Step 4: Simplify right side
    102,299,634x = 48,044,664,671,028,624
  5. Step 5: Solve for x
    x = 48,044,664,671,028,624/102,299,634
  6. Step 6: Final answer
    x = 469,646,496.20

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Why These Related Problems?

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