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Finding the Third Proportional to 228,014,982 and 488,315,922

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Solution

The third proportional to 228,014,982 and 488,315,922 is: 1,045,775,315.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014,982 : 488,315,922 = 488,315,922 : x
  2. Step 2: Convert to fraction form
    228,014,982/488,315,922 = 488,315,922/x
  3. Step 3: Cross multiply
    228,014,982x = 488,315,922 × 488,315,922
  4. Step 4: Simplify right side
    228,014,982x = 238,452,439,678,710,080
  5. Step 5: Solve for x
    x = 238,452,439,678,710,080/228,014,982
  6. Step 6: Final answer
    x = 1,045,775,315.23

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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.