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Finding the Third Proportional to 113,339,097 and 240,298,407

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Solution

The third proportional to 113,339,097 and 240,298,407 is: 509,474,011.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,339,097 : 240,298,407 = 240,298,407 : x
  2. Step 2: Convert to fraction form
    113,339,097/240,298,407 = 240,298,407/x
  3. Step 3: Cross multiply
    113,339,097x = 240,298,407 × 240,298,407
  4. Step 4: Simplify right side
    113,339,097x = 57,743,324,406,737,648
  5. Step 5: Solve for x
    x = 57,743,324,406,737,648/113,339,097
  6. Step 6: Final answer
    x = 509,474,011.49

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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.