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Finding the Third Proportional to 213,879,300.19 and 450,739,277.44

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Solution

The third proportional to 213,879,300.19 and 450,739,277.44 is: 949,909,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,879,300.19 : 450,739,277.44 = 450,739,277.44 : x
  2. Step 2: Convert to fraction form
    213,879,300.19/450,739,277.44 = 450,739,277.44/x
  3. Step 3: Cross multiply
    213,879,300.19x = 450,739,277.44 × 450,739,277.44
  4. Step 4: Simplify right side
    213,879,300.19x = 203,165,896,224,879,584
  5. Step 5: Solve for x
    x = 203,165,896,224,879,584/213,879,300.19
  6. Step 6: Final answer
    x = 949,909,112.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.