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Finding the Third Proportional to 113,207,738 and 242,560,462

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Solution

The third proportional to 113,207,738 and 242,560,462 is: 519,713,393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,738 : 242,560,462 = 242,560,462 : x
  2. Step 2: Convert to fraction form
    113,207,738/242,560,462 = 242,560,462/x
  3. Step 3: Cross multiply
    113,207,738x = 242,560,462 × 242,560,462
  4. Step 4: Simplify right side
    113,207,738x = 58,835,577,725,653,440
  5. Step 5: Solve for x
    x = 58,835,577,725,653,440/113,207,738
  6. Step 6: Final answer
    x = 519,713,393.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.