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Finding the Third Proportional to 202,817,210 and 442,800,244

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Solution

The third proportional to 202,817,210 and 442,800,244 is: 966,742,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,817,210 : 442,800,244 = 442,800,244 : x
  2. Step 2: Convert to fraction form
    202,817,210/442,800,244 = 442,800,244/x
  3. Step 3: Cross multiply
    202,817,210x = 442,800,244 × 442,800,244
  4. Step 4: Simplify right side
    202,817,210x = 196,072,056,086,459,520
  5. Step 5: Solve for x
    x = 196,072,056,086,459,520/202,817,210
  6. Step 6: Final answer
    x = 966,742,694.50

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