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Finding the Third Proportional to 146,603,772 and 289,507,032

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Solution

The third proportional to 146,603,772 and 289,507,032 is: 571,706,446.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,603,772 : 289,507,032 = 289,507,032 : x
  2. Step 2: Convert to fraction form
    146,603,772/289,507,032 = 289,507,032/x
  3. Step 3: Cross multiply
    146,603,772x = 289,507,032 × 289,507,032
  4. Step 4: Simplify right side
    146,603,772x = 83,814,321,577,449,024
  5. Step 5: Solve for x
    x = 83,814,321,577,449,024/146,603,772
  6. Step 6: Final answer
    x = 571,706,446.80

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.