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Finding the Third Proportional to 128,312,900 and 263,428,045

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Solution

The third proportional to 128,312,900 and 263,428,045 is: 540,821,187.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,312,900 : 263,428,045 = 263,428,045 : x
  2. Step 2: Convert to fraction form
    128,312,900/263,428,045 = 263,428,045/x
  3. Step 3: Cross multiply
    128,312,900x = 263,428,045 × 263,428,045
  4. Step 4: Simplify right side
    128,312,900x = 69,394,334,892,522,024
  5. Step 5: Solve for x
    x = 69,394,334,892,522,024/128,312,900
  6. Step 6: Final answer
    x = 540,821,187.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.