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Finding the Third Proportional to 146,507,760 and 233,211,717

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Solution

The third proportional to 146,507,760 and 233,211,717 is: 371,227,469.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,507,760 : 233,211,717 = 233,211,717 : x
  2. Step 2: Convert to fraction form
    146,507,760/233,211,717 = 233,211,717/x
  3. Step 3: Cross multiply
    146,507,760x = 233,211,717 × 233,211,717
  4. Step 4: Simplify right side
    146,507,760x = 54,387,704,946,088,088
  5. Step 5: Solve for x
    x = 54,387,704,946,088,088/146,507,760
  6. Step 6: Final answer
    x = 371,227,469.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.