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Finding the Third Proportional to 113,339,099 and 240,298,411

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Solution

The third proportional to 113,339,099 and 240,298,411 is: 509,474,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,339,099 : 240,298,411 = 240,298,411 : x
  2. Step 2: Convert to fraction form
    113,339,099/240,298,411 = 240,298,411/x
  3. Step 3: Cross multiply
    113,339,099x = 240,298,411 × 240,298,411
  4. Step 4: Simplify right side
    113,339,099x = 57,743,326,329,124,920
  5. Step 5: Solve for x
    x = 57,743,326,329,124,920/113,339,099
  6. Step 6: Final answer
    x = 509,474,019.46

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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.