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Finding the Third Proportional to 251,784,991.69 and 541,833,746.91

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Solution

The third proportional to 251,784,991.69 and 541,833,746.91 is: 1,166,009,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,784,991.69 : 541,833,746.91 = 541,833,746.91 : x
  2. Step 2: Convert to fraction form
    251,784,991.69/541,833,746.91 = 541,833,746.91/x
  3. Step 3: Cross multiply
    251,784,991.69x = 541,833,746.91 × 541,833,746.91
  4. Step 4: Simplify right side
    251,784,991.69x = 293,583,809,286,466,176
  5. Step 5: Solve for x
    x = 293,583,809,286,466,176/251,784,991.69
  6. Step 6: Final answer
    x = 1,166,009,964.77

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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.