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Finding the Third Proportional to 235,338,462 and 513,051,086

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Solution

The third proportional to 235,338,462 and 513,051,086 is: 1,118,480,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,462 : 513,051,086 = 513,051,086 : x
  2. Step 2: Convert to fraction form
    235,338,462/513,051,086 = 513,051,086/x
  3. Step 3: Cross multiply
    235,338,462x = 513,051,086 × 513,051,086
  4. Step 4: Simplify right side
    235,338,462x = 263,221,416,845,779,392
  5. Step 5: Solve for x
    x = 263,221,416,845,779,392/235,338,462
  6. Step 6: Final answer
    x = 1,118,480,228.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.