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Finding the Third Proportional to 174,893,960 and 261,377,040

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Solution

The third proportional to 174,893,960 and 261,377,040 is: 390,625,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,893,960 : 261,377,040 = 261,377,040 : x
  2. Step 2: Convert to fraction form
    174,893,960/261,377,040 = 261,377,040/x
  3. Step 3: Cross multiply
    174,893,960x = 261,377,040 × 261,377,040
  4. Step 4: Simplify right side
    174,893,960x = 68,317,957,039,161,600
  5. Step 5: Solve for x
    x = 68,317,957,039,161,600/174,893,960
  6. Step 6: Final answer
    x = 390,625,022.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.