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Finding the Third Proportional to 233,150,410.50 and 502,619,647.50

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Solution

The third proportional to 233,150,410.50 and 502,619,647.50 is: 1,083,534,485.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,150,410.50 : 502,619,647.50 = 502,619,647.50 : x
  2. Step 2: Convert to fraction form
    233,150,410.50/502,619,647.50 = 502,619,647.50/x
  3. Step 3: Cross multiply
    233,150,410.50x = 502,619,647.50 × 502,619,647.50
  4. Step 4: Simplify right side
    233,150,410.50x = 252,626,510,053,024,256
  5. Step 5: Solve for x
    x = 252,626,510,053,024,256/233,150,410.50
  6. Step 6: Final answer
    x = 1,083,534,485.36

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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.