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Finding the Third Proportional to 202,708,689.38 and 442,573,961.63

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Solution

The third proportional to 202,708,689.38 and 442,573,961.63 is: 966,271,905.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,708,689.38 : 442,573,961.63 = 442,573,961.63 : x
  2. Step 2: Convert to fraction form
    202,708,689.38/442,573,961.63 = 442,573,961.63/x
  3. Step 3: Cross multiply
    202,708,689.38x = 442,573,961.63 × 442,573,961.63
  4. Step 4: Simplify right side
    202,708,689.38x = 195,871,711,508,446,976
  5. Step 5: Solve for x
    x = 195,871,711,508,446,976/202,708,689.38
  6. Step 6: Final answer
    x = 966,271,905.33

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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.