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Finding the Third Proportional to 81,157,158 and 165,148,659

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Solution

The third proportional to 81,157,158 and 165,148,659 is: 336,064,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,158 : 165,148,659 = 165,148,659 : x
  2. Step 2: Convert to fraction form
    81,157,158/165,148,659 = 165,148,659/x
  3. Step 3: Cross multiply
    81,157,158x = 165,148,659 × 165,148,659
  4. Step 4: Simplify right side
    81,157,158x = 27,274,079,569,498,280
  5. Step 5: Solve for x
    x = 27,274,079,569,498,280/81,157,158
  6. Step 6: Final answer
    x = 336,064,990.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.