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Finding the Third Proportional to 122,898,352.50 and 263,326,455

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Solution

The third proportional to 122,898,352.50 and 263,326,455 is: 564,212,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898,352.50 : 263,326,455 = 263,326,455 : x
  2. Step 2: Convert to fraction form
    122,898,352.50/263,326,455 = 263,326,455/x
  3. Step 3: Cross multiply
    122,898,352.50x = 263,326,455 × 263,326,455
  4. Step 4: Simplify right side
    122,898,352.50x = 69,340,821,902,867,024
  5. Step 5: Solve for x
    x = 69,340,821,902,867,024/122,898,352.50
  6. Step 6: Final answer
    x = 564,212,786.36

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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.