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Finding the Third Proportional to 110,772,669 and 241,051,191

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Solution

The third proportional to 110,772,669 and 241,051,191 is: 524,548,854.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,772,669 : 241,051,191 = 241,051,191 : x
  2. Step 2: Convert to fraction form
    110,772,669/241,051,191 = 241,051,191/x
  3. Step 3: Cross multiply
    110,772,669x = 241,051,191 × 241,051,191
  4. Step 4: Simplify right side
    110,772,669x = 58,105,676,682,518,480
  5. Step 5: Solve for x
    x = 58,105,676,682,518,480/110,772,669
  6. Step 6: Final answer
    x = 524,548,854.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.