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Finding the Third Proportional to 194,853,026 and 424,008,148

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Solution

The third proportional to 194,853,026 and 424,008,148 is: 922,659,058.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,853,026 : 424,008,148 = 424,008,148 : x
  2. Step 2: Convert to fraction form
    194,853,026/424,008,148 = 424,008,148/x
  3. Step 3: Cross multiply
    194,853,026x = 424,008,148 × 424,008,148
  4. Step 4: Simplify right side
    194,853,026x = 179,782,909,570,389,888
  5. Step 5: Solve for x
    x = 179,782,909,570,389,888/194,853,026
  6. Step 6: Final answer
    x = 922,659,058.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.