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Finding the Third Proportional to 202,167,516 and 436,614,504

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Solution

The third proportional to 202,167,516 and 436,614,504 is: 942,941,917.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,167,516 : 436,614,504 = 436,614,504 : x
  2. Step 2: Convert to fraction form
    202,167,516/436,614,504 = 436,614,504/x
  3. Step 3: Cross multiply
    202,167,516x = 436,614,504 × 436,614,504
  4. Step 4: Simplify right side
    202,167,516x = 190,632,225,103,166,016
  5. Step 5: Solve for x
    x = 190,632,225,103,166,016/202,167,516
  6. Step 6: Final answer
    x = 942,941,917.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.