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Finding the Third Proportional to 242,707,807 and 534,887,194.50

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Solution

The third proportional to 242,707,807 and 534,887,194.50 is: 1,178,801,433.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,707,807 : 534,887,194.50 = 534,887,194.50 : x
  2. Step 2: Convert to fraction form
    242,707,807/534,887,194.50 = 534,887,194.50/x
  3. Step 3: Cross multiply
    242,707,807x = 534,887,194.50 × 534,887,194.50
  4. Step 4: Simplify right side
    242,707,807x = 286,104,310,840,080,832
  5. Step 5: Solve for x
    x = 286,104,310,840,080,832/242,707,807
  6. Step 6: Final answer
    x = 1,178,801,433.61

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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.