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Finding the Third Proportional to 220,128,916.50 and 479,810,376

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Solution

The third proportional to 220,128,916.50 and 479,810,376 is: 1,045,832,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,128,916.50 : 479,810,376 = 479,810,376 : x
  2. Step 2: Convert to fraction form
    220,128,916.50/479,810,376 = 479,810,376/x
  3. Step 3: Cross multiply
    220,128,916.50x = 479,810,376 × 479,810,376
  4. Step 4: Simplify right side
    220,128,916.50x = 230,217,996,917,261,376
  5. Step 5: Solve for x
    x = 230,217,996,917,261,376/220,128,916.50
  6. Step 6: Final answer
    x = 1,045,832,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.