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Finding the Third Proportional to 113,339,086 and 240,298,381

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Solution

The third proportional to 113,339,086 and 240,298,381 is: 509,473,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,339,086 : 240,298,381 = 240,298,381 : x
  2. Step 2: Convert to fraction form
    113,339,086/240,298,381 = 240,298,381/x
  3. Step 3: Cross multiply
    113,339,086x = 240,298,381 × 240,298,381
  4. Step 4: Simplify right side
    113,339,086x = 57,743,311,911,221,160
  5. Step 5: Solve for x
    x = 57,743,311,911,221,160/113,339,086
  6. Step 6: Final answer
    x = 509,473,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.