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Finding the Third Proportional to 121,811,133 and 199,966,404

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Solution

The third proportional to 121,811,133 and 199,966,404 is: 328,266,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,811,133 : 199,966,404 = 199,966,404 : x
  2. Step 2: Convert to fraction form
    121,811,133/199,966,404 = 199,966,404/x
  3. Step 3: Cross multiply
    121,811,133x = 199,966,404 × 199,966,404
  4. Step 4: Simplify right side
    121,811,133x = 39,986,562,728,691,216
  5. Step 5: Solve for x
    x = 39,986,562,728,691,216/121,811,133
  6. Step 6: Final answer
    x = 328,266,897.65

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.