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Finding the Third Proportional to 89,459,895 and 195,669,258

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Solution

The third proportional to 89,459,895 and 195,669,258 is: 427,973,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,459,895 : 195,669,258 = 195,669,258 : x
  2. Step 2: Convert to fraction form
    89,459,895/195,669,258 = 195,669,258/x
  3. Step 3: Cross multiply
    89,459,895x = 195,669,258 × 195,669,258
  4. Step 4: Simplify right side
    89,459,895x = 38,286,458,526,270,560
  5. Step 5: Solve for x
    x = 38,286,458,526,270,560/89,459,895
  6. Step 6: Final answer
    x = 427,973,434.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.