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Finding the Third Proportional to 89,407,427,904 and 137,425,626,702

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Solution

The third proportional to 89,407,427,904 and 137,425,626,702 is: 211,233,040,891.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,407,427,904 : 137,425,626,702 = 137,425,626,702 : x
  2. Step 2: Convert to fraction form
    89,407,427,904/137,425,626,702 = 137,425,626,702/x
  3. Step 3: Cross multiply
    89,407,427,904x = 137,425,626,702 × 137,425,626,702
  4. Step 4: Simplify right side
    89,407,427,904x = 18,885,802,874,437,455,839,232
  5. Step 5: Solve for x
    x = 18,885,802,874,437,455,839,232/89,407,427,904
  6. Step 6: Final answer
    x = 211,233,040,891.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.