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Finding the Third Proportional to 197,457,993 and 425,259,882

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Solution

The third proportional to 197,457,993 and 425,259,882 is: 915,870,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,457,993 : 425,259,882 = 425,259,882 : x
  2. Step 2: Convert to fraction form
    197,457,993/425,259,882 = 425,259,882/x
  3. Step 3: Cross multiply
    197,457,993x = 425,259,882 × 425,259,882
  4. Step 4: Simplify right side
    197,457,993x = 180,845,967,238,653,920
  5. Step 5: Solve for x
    x = 180,845,967,238,653,920/197,457,993
  6. Step 6: Final answer
    x = 915,870,583.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.