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Finding the Third Proportional to 83,053,969 and 181,739,394

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Solution

The third proportional to 83,053,969 and 181,739,394 is: 397,683,671.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,053,969 : 181,739,394 = 181,739,394 : x
  2. Step 2: Convert to fraction form
    83,053,969/181,739,394 = 181,739,394/x
  3. Step 3: Cross multiply
    83,053,969x = 181,739,394 × 181,739,394
  4. Step 4: Simplify right side
    83,053,969x = 33,029,207,331,487,236
  5. Step 5: Solve for x
    x = 33,029,207,331,487,236/83,053,969
  6. Step 6: Final answer
    x = 397,683,671.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.