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Finding the Third Proportional to 202,708,676 and 442,573,936

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Solution

The third proportional to 202,708,676 and 442,573,936 is: 966,271,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708,676 : 442,573,936 = 442,573,936 : x
  2. Step 2: Convert to fraction form
    202,708,676/442,573,936 = 442,573,936/x
  3. Step 3: Cross multiply
    202,708,676x = 442,573,936 × 442,573,936
  4. Step 4: Simplify right side
    202,708,676x = 195,871,688,826,532,096
  5. Step 5: Solve for x
    x = 195,871,688,826,532,096/202,708,676
  6. Step 6: Final answer
    x = 966,271,857.19

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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.