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Finding the Third Proportional to 146,218,260 and 321,135,981

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Solution

The third proportional to 146,218,260 and 321,135,981 is: 705,303,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,218,260 : 321,135,981 = 321,135,981 : x
  2. Step 2: Convert to fraction form
    146,218,260/321,135,981 = 321,135,981/x
  3. Step 3: Cross multiply
    146,218,260x = 321,135,981 × 321,135,981
  4. Step 4: Simplify right side
    146,218,260x = 103,128,318,292,832,368
  5. Step 5: Solve for x
    x = 103,128,318,292,832,368/146,218,260
  6. Step 6: Final answer
    x = 705,303,963.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.