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Finding the Third Proportional to 150,775,936.50 and 328,250,524.50

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Solution

The third proportional to 150,775,936.50 and 328,250,524.50 is: 714,626,016.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,775,936.50 : 328,250,524.50 = 328,250,524.50 : x
  2. Step 2: Convert to fraction form
    150,775,936.50/328,250,524.50 = 328,250,524.50/x
  3. Step 3: Cross multiply
    150,775,936.50x = 328,250,524.50 × 328,250,524.50
  4. Step 4: Simplify right side
    150,775,936.50x = 107,748,406,834,525,104
  5. Step 5: Solve for x
    x = 107,748,406,834,525,104/150,775,936.50
  6. Step 6: Final answer
    x = 714,626,016.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.