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Finding the Third Proportional to 50,473,825.31 and 109,805,000.63

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Solution

The third proportional to 50,473,825.31 and 109,805,000.63 is: 238,879,024.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,473,825.31 : 109,805,000.63 = 109,805,000.63 : x
  2. Step 2: Convert to fraction form
    50,473,825.31/109,805,000.63 = 109,805,000.63/x
  3. Step 3: Cross multiply
    50,473,825.31x = 109,805,000.63 × 109,805,000.63
  4. Step 4: Simplify right side
    50,473,825.31x = 12,057,138,162,256,250
  5. Step 5: Solve for x
    x = 12,057,138,162,256,250/50,473,825.31
  6. Step 6: Final answer
    x = 238,879,024.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.