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Finding the Third Proportional to 121,811,131.13 and 199,966,401

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Solution

The third proportional to 121,811,131.13 and 199,966,401 is: 328,266,892.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,811,131.13 : 199,966,401 = 199,966,401 : x
  2. Step 2: Convert to fraction form
    121,811,131.13/199,966,401 = 199,966,401/x
  3. Step 3: Cross multiply
    121,811,131.13x = 199,966,401 × 199,966,401
  4. Step 4: Simplify right side
    121,811,131.13x = 39,986,561,528,892,800
  5. Step 5: Solve for x
    x = 39,986,561,528,892,800/121,811,131.13
  6. Step 6: Final answer
    x = 328,266,892.85

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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.