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Finding the Third Proportional to 63,685,261 and 138,183,050

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Solution

The third proportional to 63,685,261 and 138,183,050 is: 299,826,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,685,261 : 138,183,050 = 138,183,050 : x
  2. Step 2: Convert to fraction form
    63,685,261/138,183,050 = 138,183,050/x
  3. Step 3: Cross multiply
    63,685,261x = 138,183,050 × 138,183,050
  4. Step 4: Simplify right side
    63,685,261x = 19,094,555,307,302,500
  5. Step 5: Solve for x
    x = 19,094,555,307,302,500/63,685,261
  6. Step 6: Final answer
    x = 299,826,914.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.