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Finding the Third Proportional to 50,347,895.75 and 108,442,896

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Solution

The third proportional to 50,347,895.75 and 108,442,896 is: 233,572,059.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,347,895.75 : 108,442,896 = 108,442,896 : x
  2. Step 2: Convert to fraction form
    50,347,895.75/108,442,896 = 108,442,896/x
  3. Step 3: Cross multiply
    50,347,895.75x = 108,442,896 × 108,442,896
  4. Step 4: Simplify right side
    50,347,895.75x = 11,759,861,692,866,816
  5. Step 5: Solve for x
    x = 11,759,861,692,866,816/50,347,895.75
  6. Step 6: Final answer
    x = 233,572,059.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.