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Finding the Third Proportional to 172,348,243 and 368,906,565

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Solution

The third proportional to 172,348,243 and 368,906,565 is: 789,634,122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,348,243 : 368,906,565 = 368,906,565 : x
  2. Step 2: Convert to fraction form
    172,348,243/368,906,565 = 368,906,565/x
  3. Step 3: Cross multiply
    172,348,243x = 368,906,565 × 368,906,565
  4. Step 4: Simplify right side
    172,348,243x = 136,092,053,700,099,232
  5. Step 5: Solve for x
    x = 136,092,053,700,099,232/172,348,243
  6. Step 6: Final answer
    x = 789,634,122.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.