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Finding the Third Proportional to 150,812,887.50 and 325,433,173.50

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Solution

The third proportional to 150,812,887.50 and 325,433,173.50 is: 702,239,391.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812,887.50 : 325,433,173.50 = 325,433,173.50 : x
  2. Step 2: Convert to fraction form
    150,812,887.50/325,433,173.50 = 325,433,173.50/x
  3. Step 3: Cross multiply
    150,812,887.50x = 325,433,173.50 × 325,433,173.50
  4. Step 4: Simplify right side
    150,812,887.50x = 105,906,750,414,281,104
  5. Step 5: Solve for x
    x = 105,906,750,414,281,104/150,812,887.50
  6. Step 6: Final answer
    x = 702,239,391.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.