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Finding the Third Proportional to 110,335,636 and 234,120,508

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Solution

The third proportional to 110,335,636 and 234,120,508 is: 496,778,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,335,636 : 234,120,508 = 234,120,508 : x
  2. Step 2: Convert to fraction form
    110,335,636/234,120,508 = 234,120,508/x
  3. Step 3: Cross multiply
    110,335,636x = 234,120,508 × 234,120,508
  4. Step 4: Simplify right side
    110,335,636x = 54,812,412,266,178,064
  5. Step 5: Solve for x
    x = 54,812,412,266,178,064/110,335,636
  6. Step 6: Final answer
    x = 496,778,867.22

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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.