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Finding the Third Proportional to 81,157,158 and 165,148,658

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Solution

The third proportional to 81,157,158 and 165,148,658 is: 336,064,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,158 : 165,148,658 = 165,148,658 : x
  2. Step 2: Convert to fraction form
    81,157,158/165,148,658 = 165,148,658/x
  3. Step 3: Cross multiply
    81,157,158x = 165,148,658 × 165,148,658
  4. Step 4: Simplify right side
    81,157,158x = 27,274,079,239,200,964
  5. Step 5: Solve for x
    x = 27,274,079,239,200,964/81,157,158
  6. Step 6: Final answer
    x = 336,064,986.89

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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.