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Finding the Third Proportional to 51,523,269.75 and 111,117,571.88

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Solution

The third proportional to 51,523,269.75 and 111,117,571.88 is: 239,641,521.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,523,269.75 : 111,117,571.88 = 111,117,571.88 : x
  2. Step 2: Convert to fraction form
    51,523,269.75/111,117,571.88 = 111,117,571.88/x
  3. Step 3: Cross multiply
    51,523,269.75x = 111,117,571.88 × 111,117,571.88
  4. Step 4: Simplify right side
    51,523,269.75x = 12,347,114,779,395,792
  5. Step 5: Solve for x
    x = 12,347,114,779,395,792/51,523,269.75
  6. Step 6: Final answer
    x = 239,641,521.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.