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Finding the Third Proportional to 159,975,006.75 and 238,914,208.13

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Solution

The third proportional to 159,975,006.75 and 238,914,208.13 is: 356,805,728.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,975,006.75 : 238,914,208.13 = 238,914,208.13 : x
  2. Step 2: Convert to fraction form
    159,975,006.75/238,914,208.13 = 238,914,208.13/x
  3. Step 3: Cross multiply
    159,975,006.75x = 238,914,208.13 × 238,914,208.13
  4. Step 4: Simplify right side
    159,975,006.75x = 57,079,998,843,995,816
  5. Step 5: Solve for x
    x = 57,079,998,843,995,816/159,975,006.75
  6. Step 6: Final answer
    x = 356,805,728.62

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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.