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Finding the Third Proportional to 243,218,066 and 535,079,268

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Solution

The third proportional to 243,218,066 and 535,079,268 is: 1,177,173,339.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,218,066 : 535,079,268 = 535,079,268 : x
  2. Step 2: Convert to fraction form
    243,218,066/535,079,268 = 535,079,268/x
  3. Step 3: Cross multiply
    243,218,066x = 535,079,268 × 535,079,268
  4. Step 4: Simplify right side
    243,218,066x = 286,309,823,043,415,808
  5. Step 5: Solve for x
    x = 286,309,823,043,415,808/243,218,066
  6. Step 6: Final answer
    x = 1,177,173,339.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.