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Finding the Third Proportional to 219,662,309 and 332,327,816

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Solution

The third proportional to 219,662,309 and 332,327,816 is: 502,779,825.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,662,309 : 332,327,816 = 332,327,816 : x
  2. Step 2: Convert to fraction form
    219,662,309/332,327,816 = 332,327,816/x
  3. Step 3: Cross multiply
    219,662,309x = 332,327,816 × 332,327,816
  4. Step 4: Simplify right side
    219,662,309x = 110,441,777,287,329,856
  5. Step 5: Solve for x
    x = 110,441,777,287,329,856/219,662,309
  6. Step 6: Final answer
    x = 502,779,825.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.