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Finding the Third Proportional to 235,338,458 and 513,051,078

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Solution

The third proportional to 235,338,458 and 513,051,078 is: 1,118,480,213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,458 : 513,051,078 = 513,051,078 : x
  2. Step 2: Convert to fraction form
    235,338,458/513,051,078 = 513,051,078/x
  3. Step 3: Cross multiply
    235,338,458x = 513,051,078 × 513,051,078
  4. Step 4: Simplify right side
    235,338,458x = 263,221,408,636,962,080
  5. Step 5: Solve for x
    x = 263,221,408,636,962,080/235,338,458
  6. Step 6: Final answer
    x = 1,118,480,213.03

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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.