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Finding the Third Proportional to 110,730,213 and 242,313,741

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Solution

The third proportional to 110,730,213 and 242,313,741 is: 530,261,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,730,213 : 242,313,741 = 242,313,741 : x
  2. Step 2: Convert to fraction form
    110,730,213/242,313,741 = 242,313,741/x
  3. Step 3: Cross multiply
    110,730,213x = 242,313,741 × 242,313,741
  4. Step 4: Simplify right side
    110,730,213x = 58,715,949,077,415,080
  5. Step 5: Solve for x
    x = 58,715,949,077,415,080/110,730,213
  6. Step 6: Final answer
    x = 530,261,321.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.