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Finding the Third Proportional to 200,977,615.50 and 435,343,785

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Solution

The third proportional to 200,977,615.50 and 435,343,785 is: 943,011,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,977,615.50 : 435,343,785 = 435,343,785 : x
  2. Step 2: Convert to fraction form
    200,977,615.50/435,343,785 = 435,343,785/x
  3. Step 3: Cross multiply
    200,977,615.50x = 435,343,785 × 435,343,785
  4. Step 4: Simplify right side
    200,977,615.50x = 189,524,211,138,126,240
  5. Step 5: Solve for x
    x = 189,524,211,138,126,240/200,977,615.50
  6. Step 6: Final answer
    x = 943,011,542.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.