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Finding the Third Proportional to 82,323,761.63 and 162,565,498.69

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Solution

The third proportional to 82,323,761.63 and 162,565,498.69 is: 321,019,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,323,761.63 : 162,565,498.69 = 162,565,498.69 : x
  2. Step 2: Convert to fraction form
    82,323,761.63/162,565,498.69 = 162,565,498.69/x
  3. Step 3: Cross multiply
    82,323,761.63x = 162,565,498.69 × 162,565,498.69
  4. Step 4: Simplify right side
    82,323,761.63x = 26,427,541,363,515,564
  5. Step 5: Solve for x
    x = 26,427,541,363,515,564/82,323,761.63
  6. Step 6: Final answer
    x = 321,019,604.08

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.