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Finding the Third Proportional to 191,660,765 and 416,902,478

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Solution

The third proportional to 191,660,765 and 416,902,478 is: 906,850,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,660,765 : 416,902,478 = 416,902,478 : x
  2. Step 2: Convert to fraction form
    191,660,765/416,902,478 = 416,902,478/x
  3. Step 3: Cross multiply
    191,660,765x = 416,902,478 × 416,902,478
  4. Step 4: Simplify right side
    191,660,765x = 173,807,676,162,540,480
  5. Step 5: Solve for x
    x = 173,807,676,162,540,480/191,660,765
  6. Step 6: Final answer
    x = 906,850,581.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.