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Finding the Third Proportional to 325,122,153.75 and 463,467,399.75

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Solution

The third proportional to 325,122,153.75 and 463,467,399.75 is: 660,681,002.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,122,153.75 : 463,467,399.75 = 463,467,399.75 : x
  2. Step 2: Convert to fraction form
    325,122,153.75/463,467,399.75 = 463,467,399.75/x
  3. Step 3: Cross multiply
    325,122,153.75x = 463,467,399.75 × 463,467,399.75
  4. Step 4: Simplify right side
    325,122,153.75x = 214,802,030,631,026,304
  5. Step 5: Solve for x
    x = 214,802,030,631,026,304/325,122,153.75
  6. Step 6: Final answer
    x = 660,681,002.98

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.