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Finding the Third Proportional to 51,905,679.75 and 122,528,232

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Solution

The third proportional to 51,905,679.75 and 122,528,232 is: 289,239,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,905,679.75 : 122,528,232 = 122,528,232 : x
  2. Step 2: Convert to fraction form
    51,905,679.75/122,528,232 = 122,528,232/x
  3. Step 3: Cross multiply
    51,905,679.75x = 122,528,232 × 122,528,232
  4. Step 4: Simplify right side
    51,905,679.75x = 15,013,167,637,045,824
  5. Step 5: Solve for x
    x = 15,013,167,637,045,824/51,905,679.75
  6. Step 6: Final answer
    x = 289,239,399.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.