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Finding the Third Proportional to 219,160,332 and 329,028,768

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Solution

The third proportional to 219,160,332 and 329,028,768 is: 493,975,936.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160,332 : 329,028,768 = 329,028,768 : x
  2. Step 2: Convert to fraction form
    219,160,332/329,028,768 = 329,028,768/x
  3. Step 3: Cross multiply
    219,160,332x = 329,028,768 × 329,028,768
  4. Step 4: Simplify right side
    219,160,332x = 108,259,930,171,597,824
  5. Step 5: Solve for x
    x = 108,259,930,171,597,824/219,160,332
  6. Step 6: Final answer
    x = 493,975,936.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.