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Finding the Third Proportional to 250,499,032.50 and 518,181,324.50

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Solution

The third proportional to 250,499,032.50 and 518,181,324.50 is: 1,071,907,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,499,032.50 : 518,181,324.50 = 518,181,324.50 : x
  2. Step 2: Convert to fraction form
    250,499,032.50/518,181,324.50 = 518,181,324.50/x
  3. Step 3: Cross multiply
    250,499,032.50x = 518,181,324.50 × 518,181,324.50
  4. Step 4: Simplify right side
    250,499,032.50x = 268,511,885,060,574,304
  5. Step 5: Solve for x
    x = 268,511,885,060,574,304/250,499,032.50
  6. Step 6: Final answer
    x = 1,071,907,872.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.