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Finding the Third Proportional to 185,116,743 and 384,582,296.25

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Solution

The third proportional to 185,116,743 and 384,582,296.25 is: 798,974,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,116,743 : 384,582,296.25 = 384,582,296.25 : x
  2. Step 2: Convert to fraction form
    185,116,743/384,582,296.25 = 384,582,296.25/x
  3. Step 3: Cross multiply
    185,116,743x = 384,582,296.25 × 384,582,296.25
  4. Step 4: Simplify right side
    185,116,743x = 147,903,542,588,922,752
  5. Step 5: Solve for x
    x = 147,903,542,588,922,752/185,116,743
  6. Step 6: Final answer
    x = 798,974,421.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.