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Finding the Third Proportional to 84,876,305.63 and 127,734,914.25

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Solution

The third proportional to 84,876,305.63 and 127,734,914.25 is: 192,235,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,876,305.63 : 127,734,914.25 = 127,734,914.25 : x
  2. Step 2: Convert to fraction form
    84,876,305.63/127,734,914.25 = 127,734,914.25/x
  3. Step 3: Cross multiply
    84,876,305.63x = 127,734,914.25 × 127,734,914.25
  4. Step 4: Simplify right side
    84,876,305.63x = 16,316,208,318,454,854
  5. Step 5: Solve for x
    x = 16,316,208,318,454,854/84,876,305.63
  6. Step 6: Final answer
    x = 192,235,137.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.