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Finding the Third Proportional to 202,817,212 and 442,800,248

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Solution

The third proportional to 202,817,212 and 442,800,248 is: 966,742,702.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,817,212 : 442,800,248 = 442,800,248 : x
  2. Step 2: Convert to fraction form
    202,817,212/442,800,248 = 442,800,248/x
  3. Step 3: Cross multiply
    202,817,212x = 442,800,248 × 442,800,248
  4. Step 4: Simplify right side
    202,817,212x = 196,072,059,628,861,504
  5. Step 5: Solve for x
    x = 196,072,059,628,861,504/202,817,212
  6. Step 6: Final answer
    x = 966,742,702.43

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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.