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Finding the Third Proportional to 145,387,097.50 and 218,187,081

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Solution

The third proportional to 145,387,097.50 and 218,187,081 is: 327,440,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,387,097.50 : 218,187,081 = 218,187,081 : x
  2. Step 2: Convert to fraction form
    145,387,097.50/218,187,081 = 218,187,081/x
  3. Step 3: Cross multiply
    145,387,097.50x = 218,187,081 × 218,187,081
  4. Step 4: Simplify right side
    145,387,097.50x = 47,605,602,315,300,560
  5. Step 5: Solve for x
    x = 47,605,602,315,300,560/145,387,097.50
  6. Step 6: Final answer
    x = 327,440,351.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.