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Finding the Third Proportional to 242,791,240.22 and 534,010,041.56

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Solution

The third proportional to 242,791,240.22 and 534,010,041.56 is: 1,174,534,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,791,240.22 : 534,010,041.56 = 534,010,041.56 : x
  2. Step 2: Convert to fraction form
    242,791,240.22/534,010,041.56 = 534,010,041.56/x
  3. Step 3: Cross multiply
    242,791,240.22x = 534,010,041.56 × 534,010,041.56
  4. Step 4: Simplify right side
    242,791,240.22x = 285,166,724,489,582,976
  5. Step 5: Solve for x
    x = 285,166,724,489,582,976/242,791,240.22
  6. Step 6: Final answer
    x = 1,174,534,650.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.