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Finding the Third Proportional to 194,852,927 and 424,007,824

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Solution

The third proportional to 194,852,927 and 424,007,824 is: 922,658,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,852,927 : 424,007,824 = 424,007,824 : x
  2. Step 2: Convert to fraction form
    194,852,927/424,007,824 = 424,007,824/x
  3. Step 3: Cross multiply
    194,852,927x = 424,007,824 × 424,007,824
  4. Step 4: Simplify right side
    194,852,927x = 179,782,634,813,214,976
  5. Step 5: Solve for x
    x = 179,782,634,813,214,976/194,852,927
  6. Step 6: Final answer
    x = 922,658,117.49

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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.