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Finding the Third Proportional to 124,481,512.50 and 200,008,291.50

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Solution

The third proportional to 124,481,512.50 and 200,008,291.50 is: 321,359,500.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,481,512.50 : 200,008,291.50 = 200,008,291.50 : x
  2. Step 2: Convert to fraction form
    124,481,512.50/200,008,291.50 = 200,008,291.50/x
  3. Step 3: Cross multiply
    124,481,512.50x = 200,008,291.50 × 200,008,291.50
  4. Step 4: Simplify right side
    124,481,512.50x = 40,003,316,668,748,976
  5. Step 5: Solve for x
    x = 40,003,316,668,748,976/124,481,512.50
  6. Step 6: Final answer
    x = 321,359,500.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.