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Finding the Third Proportional to 150,532,882.50 and 211,986,656.25

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Solution

The third proportional to 150,532,882.50 and 211,986,656.25 is: 298,528,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,532,882.50 : 211,986,656.25 = 211,986,656.25 : x
  2. Step 2: Convert to fraction form
    150,532,882.50/211,986,656.25 = 211,986,656.25/x
  3. Step 3: Cross multiply
    150,532,882.50x = 211,986,656.25 × 211,986,656.25
  4. Step 4: Simplify right side
    150,532,882.50x = 44,938,342,428,055,664
  5. Step 5: Solve for x
    x = 44,938,342,428,055,664/150,532,882.50
  6. Step 6: Final answer
    x = 298,528,412.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.