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Finding the Third Proportional to 195,157,956 and 260,175,258

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Solution

The third proportional to 195,157,956 and 260,175,258 is: 346,853,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,157,956 : 260,175,258 = 260,175,258 : x
  2. Step 2: Convert to fraction form
    195,157,956/260,175,258 = 260,175,258/x
  3. Step 3: Cross multiply
    195,157,956x = 260,175,258 × 260,175,258
  4. Step 4: Simplify right side
    195,157,956x = 67,691,164,875,366,560
  5. Step 5: Solve for x
    x = 67,691,164,875,366,560/195,157,956
  6. Step 6: Final answer
    x = 346,853,217.07

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.