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Finding the Third Proportional to 49,557,613.50 and 106,289,680.50

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Solution

The third proportional to 49,557,613.50 and 106,289,680.50 is: 227,966,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,557,613.50 : 106,289,680.50 = 106,289,680.50 : x
  2. Step 2: Convert to fraction form
    49,557,613.50/106,289,680.50 = 106,289,680.50/x
  3. Step 3: Cross multiply
    49,557,613.50x = 106,289,680.50 × 106,289,680.50
  4. Step 4: Simplify right side
    49,557,613.50x = 11,297,496,180,792,080
  5. Step 5: Solve for x
    x = 11,297,496,180,792,080/49,557,613.50
  6. Step 6: Final answer
    x = 227,966,913.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.