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Finding the Third Proportional to 202,920,843 and 444,624,324

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Solution

The third proportional to 202,920,843 and 444,624,324 is: 974,226,139.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920,843 : 444,624,324 = 444,624,324 : x
  2. Step 2: Convert to fraction form
    202,920,843/444,624,324 = 444,624,324/x
  3. Step 3: Cross multiply
    202,920,843x = 444,624,324 × 444,624,324
  4. Step 4: Simplify right side
    202,920,843x = 197,690,789,492,456,960
  5. Step 5: Solve for x
    x = 197,690,789,492,456,960/202,920,843
  6. Step 6: Final answer
    x = 974,226,139.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.