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Finding the Third Proportional to 159,124,194 and 342,733,066

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Solution

The third proportional to 159,124,194 and 342,733,066 is: 738,202,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,124,194 : 342,733,066 = 342,733,066 : x
  2. Step 2: Convert to fraction form
    159,124,194/342,733,066 = 342,733,066/x
  3. Step 3: Cross multiply
    159,124,194x = 342,733,066 × 342,733,066
  4. Step 4: Simplify right side
    159,124,194x = 117,465,954,529,760,352
  5. Step 5: Solve for x
    x = 117,465,954,529,760,352/159,124,194
  6. Step 6: Final answer
    x = 738,202,982.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.