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Finding the Third Proportional to 74,111,906 and 160,981,910

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Solution

The third proportional to 74,111,906 and 160,981,910 is: 349,676,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,111,906 : 160,981,910 = 160,981,910 : x
  2. Step 2: Convert to fraction form
    74,111,906/160,981,910 = 160,981,910/x
  3. Step 3: Cross multiply
    74,111,906x = 160,981,910 × 160,981,910
  4. Step 4: Simplify right side
    74,111,906x = 25,915,175,347,248,100
  5. Step 5: Solve for x
    x = 25,915,175,347,248,100/74,111,906
  6. Step 6: Final answer
    x = 349,676,276.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.