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Finding the Third Proportional to 69,851,144 and 146,941,492

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Solution

The third proportional to 69,851,144 and 146,941,492 is: 309,111,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,851,144 : 146,941,492 = 146,941,492 : x
  2. Step 2: Convert to fraction form
    69,851,144/146,941,492 = 146,941,492/x
  3. Step 3: Cross multiply
    69,851,144x = 146,941,492 × 146,941,492
  4. Step 4: Simplify right side
    69,851,144x = 21,591,802,071,186,064
  5. Step 5: Solve for x
    x = 21,591,802,071,186,064/69,851,144
  6. Step 6: Final answer
    x = 309,111,645.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.