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Finding the Third Proportional to 51,829,643.50 and 113,421,047

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Solution

The third proportional to 51,829,643.50 and 113,421,047 is: 248,204,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,643.50 : 113,421,047 = 113,421,047 : x
  2. Step 2: Convert to fraction form
    51,829,643.50/113,421,047 = 113,421,047/x
  3. Step 3: Cross multiply
    51,829,643.50x = 113,421,047 × 113,421,047
  4. Step 4: Simplify right side
    51,829,643.50x = 12,864,333,902,576,208
  5. Step 5: Solve for x
    x = 12,864,333,902,576,208/51,829,643.50
  6. Step 6: Final answer
    x = 248,204,174.94

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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.