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Finding the Third Proportional to 219,160,340 and 329,028,780

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Solution

The third proportional to 219,160,340 and 329,028,780 is: 493,975,954.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,160,340 : 329,028,780 = 329,028,780 : x
  2. Step 2: Convert to fraction form
    219,160,340/329,028,780 = 329,028,780/x
  3. Step 3: Cross multiply
    219,160,340x = 329,028,780 × 329,028,780
  4. Step 4: Simplify right side
    219,160,340x = 108,259,938,068,288,400
  5. Step 5: Solve for x
    x = 108,259,938,068,288,400/219,160,340
  6. Step 6: Final answer
    x = 493,975,954.17

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