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Finding the Third Proportional to 195,088,213 and 281,868,777

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Solution

The third proportional to 195,088,213 and 281,868,777 is: 407,251,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,088,213 : 281,868,777 = 281,868,777 : x
  2. Step 2: Convert to fraction form
    195,088,213/281,868,777 = 281,868,777/x
  3. Step 3: Cross multiply
    195,088,213x = 281,868,777 × 281,868,777
  4. Step 4: Simplify right side
    195,088,213x = 79,450,007,447,475,728
  5. Step 5: Solve for x
    x = 79,450,007,447,475,728/195,088,213
  6. Step 6: Final answer
    x = 407,251,705.40

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.