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Finding the Third Proportional to 251,784,990 and 541,833,743.39

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Solution

The third proportional to 251,784,990 and 541,833,743.39 is: 1,166,009,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,784,990 : 541,833,743.39 = 541,833,743.39 : x
  2. Step 2: Convert to fraction form
    251,784,990/541,833,743.39 = 541,833,743.39/x
  3. Step 3: Cross multiply
    251,784,990x = 541,833,743.39 × 541,833,743.39
  4. Step 4: Simplify right side
    251,784,990x = 293,583,805,476,670,528
  5. Step 5: Solve for x
    x = 293,583,805,476,670,528/251,784,990
  6. Step 6: Final answer
    x = 1,166,009,957.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.