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Finding the Third Proportional to 89,180,048 and 137,828,328

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Solution

The third proportional to 89,180,048 and 137,828,328 is: 213,014,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,180,048 : 137,828,328 = 137,828,328 : x
  2. Step 2: Convert to fraction form
    89,180,048/137,828,328 = 137,828,328/x
  3. Step 3: Cross multiply
    89,180,048x = 137,828,328 × 137,828,328
  4. Step 4: Simplify right side
    89,180,048x = 18,996,647,999,275,584
  5. Step 5: Solve for x
    x = 18,996,647,999,275,584/89,180,048
  6. Step 6: Final answer
    x = 213,014,552.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.