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Finding the Third Proportional to 75,455,696 and 161,668,151

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Solution

The third proportional to 75,455,696 and 161,668,151 is: 346,383,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,455,696 : 161,668,151 = 161,668,151 : x
  2. Step 2: Convert to fraction form
    75,455,696/161,668,151 = 161,668,151/x
  3. Step 3: Cross multiply
    75,455,696x = 161,668,151 × 161,668,151
  4. Step 4: Simplify right side
    75,455,696x = 26,136,591,047,758,800
  5. Step 5: Solve for x
    x = 26,136,591,047,758,800/75,455,696
  6. Step 6: Final answer
    x = 346,383,274.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.