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Finding the Third Proportional to 122,458,063.50 and 264,396,828.94

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Solution

The third proportional to 122,458,063.50 and 264,396,828.94 is: 570,854,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,458,063.50 : 264,396,828.94 = 264,396,828.94 : x
  2. Step 2: Convert to fraction form
    122,458,063.50/264,396,828.94 = 264,396,828.94/x
  3. Step 3: Cross multiply
    122,458,063.50x = 264,396,828.94 × 264,396,828.94
  4. Step 4: Simplify right side
    122,458,063.50x = 69,905,683,152,205,640
  5. Step 5: Solve for x
    x = 69,905,683,152,205,640/122,458,063.50
  6. Step 6: Final answer
    x = 570,854,063.46

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