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Finding the Third Proportional to 152,074,467 and 312,210,859

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Solution

The third proportional to 152,074,467 and 312,210,859 is: 640,972,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,074,467 : 312,210,859 = 312,210,859 : x
  2. Step 2: Convert to fraction form
    152,074,467/312,210,859 = 312,210,859/x
  3. Step 3: Cross multiply
    152,074,467x = 312,210,859 × 312,210,859
  4. Step 4: Simplify right side
    152,074,467x = 97,475,620,477,517,888
  5. Step 5: Solve for x
    x = 97,475,620,477,517,888/152,074,467
  6. Step 6: Final answer
    x = 640,972,954.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.