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Finding the Third Proportional to 223,533,273.80 and 333,119,274.26

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Solution

The third proportional to 223,533,273.80 and 333,119,274.26 is: 496,429,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,533,273.80 : 333,119,274.26 = 333,119,274.26 : x
  2. Step 2: Convert to fraction form
    223,533,273.80/333,119,274.26 = 333,119,274.26/x
  3. Step 3: Cross multiply
    223,533,273.80x = 333,119,274.26 × 333,119,274.26
  4. Step 4: Simplify right side
    223,533,273.80x = 110,968,450,882,056,704
  5. Step 5: Solve for x
    x = 110,968,450,882,056,704/223,533,273.80
  6. Step 6: Final answer
    x = 496,429,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.