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Finding the Third Proportional to 164,032,342.50 and 230,731,839

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Solution

The third proportional to 164,032,342.50 and 230,731,839 is: 324,552,955.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,032,342.50 : 230,731,839 = 230,731,839 : x
  2. Step 2: Convert to fraction form
    164,032,342.50/230,731,839 = 230,731,839/x
  3. Step 3: Cross multiply
    164,032,342.50x = 230,731,839 × 230,731,839
  4. Step 4: Simplify right side
    164,032,342.50x = 53,237,181,528,321,920
  5. Step 5: Solve for x
    x = 53,237,181,528,321,920/164,032,342.50
  6. Step 6: Final answer
    x = 324,552,955.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.