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Finding the Third Proportional to 102,660,701.50 and 213,813,524

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Solution

The third proportional to 102,660,701.50 and 213,813,524 is: 445,313,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,660,701.50 : 213,813,524 = 213,813,524 : x
  2. Step 2: Convert to fraction form
    102,660,701.50/213,813,524 = 213,813,524/x
  3. Step 3: Cross multiply
    102,660,701.50x = 213,813,524 × 213,813,524
  4. Step 4: Simplify right side
    102,660,701.50x = 45,716,223,045,298,576
  5. Step 5: Solve for x
    x = 45,716,223,045,298,576/102,660,701.50
  6. Step 6: Final answer
    x = 445,313,760.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.