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Finding the Third Proportional to 113,339,101 and 240,298,415

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Solution

The third proportional to 113,339,101 and 240,298,415 is: 509,474,027.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,339,101 : 240,298,415 = 240,298,415 : x
  2. Step 2: Convert to fraction form
    113,339,101/240,298,415 = 240,298,415/x
  3. Step 3: Cross multiply
    113,339,101x = 240,298,415 × 240,298,415
  4. Step 4: Simplify right side
    113,339,101x = 57,743,328,251,512,224
  5. Step 5: Solve for x
    x = 57,743,328,251,512,224/113,339,101
  6. Step 6: Final answer
    x = 509,474,027.43

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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.