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Finding the Third Proportional to 235,338,451 and 513,051,065

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Solution

The third proportional to 235,338,451 and 513,051,065 is: 1,118,480,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,338,451 : 513,051,065 = 513,051,065 : x
  2. Step 2: Convert to fraction form
    235,338,451/513,051,065 = 513,051,065/x
  3. Step 3: Cross multiply
    235,338,451x = 513,051,065 × 513,051,065
  4. Step 4: Simplify right side
    235,338,451x = 263,221,395,297,634,240
  5. Step 5: Solve for x
    x = 263,221,395,297,634,240/235,338,451
  6. Step 6: Final answer
    x = 1,118,480,189.61

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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.