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Finding the Third Proportional to 82,827,088 and 128,116,824

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Solution

The third proportional to 82,827,088 and 128,116,824 is: 198,170,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,827,088 : 128,116,824 = 128,116,824 : x
  2. Step 2: Convert to fraction form
    82,827,088/128,116,824 = 128,116,824/x
  3. Step 3: Cross multiply
    82,827,088x = 128,116,824 × 128,116,824
  4. Step 4: Simplify right side
    82,827,088x = 16,413,920,591,846,976
  5. Step 5: Solve for x
    x = 16,413,920,591,846,976/82,827,088
  6. Step 6: Final answer
    x = 198,170,924.37

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.