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Finding the Third Proportional to 230,092,824 and 310,971,492

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Solution

The third proportional to 230,092,824 and 310,971,492 is: 420,279,377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,092,824 : 310,971,492 = 310,971,492 : x
  2. Step 2: Convert to fraction form
    230,092,824/310,971,492 = 310,971,492/x
  3. Step 3: Cross multiply
    230,092,824x = 310,971,492 × 310,971,492
  4. Step 4: Simplify right side
    230,092,824x = 96,703,268,836,706,064
  5. Step 5: Solve for x
    x = 96,703,268,836,706,064/230,092,824
  6. Step 6: Final answer
    x = 420,279,377.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.