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Finding the Third Proportional to 49,200,494 and 107,666,758

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Solution

The third proportional to 49,200,494 and 107,666,758 is: 235,610,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,200,494 : 107,666,758 = 107,666,758 : x
  2. Step 2: Convert to fraction form
    49,200,494/107,666,758 = 107,666,758/x
  3. Step 3: Cross multiply
    49,200,494x = 107,666,758 × 107,666,758
  4. Step 4: Simplify right side
    49,200,494x = 11,592,130,778,230,564
  5. Step 5: Solve for x
    x = 11,592,130,778,230,564/49,200,494
  6. Step 6: Final answer
    x = 235,610,048.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.