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Finding the Third Proportional to 233,150,215.50 and 502,619,260.50

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Solution

The third proportional to 233,150,215.50 and 502,619,260.50 is: 1,083,533,723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,215.50 : 502,619,260.50 = 502,619,260.50 : x
  2. Step 2: Convert to fraction form
    233,150,215.50/502,619,260.50 = 502,619,260.50/x
  3. Step 3: Cross multiply
    233,150,215.50x = 502,619,260.50 × 502,619,260.50
  4. Step 4: Simplify right side
    233,150,215.50x = 252,626,121,025,566,848
  5. Step 5: Solve for x
    x = 252,626,121,025,566,848/233,150,215.50
  6. Step 6: Final answer
    x = 1,083,533,723.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.