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Finding the Third Proportional to 110,748,684 and 241,425,312

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Solution

The third proportional to 110,748,684 and 241,425,312 is: 526,292,314.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,748,684 : 241,425,312 = 241,425,312 : x
  2. Step 2: Convert to fraction form
    110,748,684/241,425,312 = 241,425,312/x
  3. Step 3: Cross multiply
    110,748,684x = 241,425,312 × 241,425,312
  4. Step 4: Simplify right side
    110,748,684x = 58,286,181,274,297,344
  5. Step 5: Solve for x
    x = 58,286,181,274,297,344/110,748,684
  6. Step 6: Final answer
    x = 526,292,314.90

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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.