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Finding the Third Proportional to 228,149,538 and 492,668,454

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Solution

The third proportional to 228,149,538 and 492,668,454 is: 1,063,873,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,149,538 : 492,668,454 = 492,668,454 : x
  2. Step 2: Convert to fraction form
    228,149,538/492,668,454 = 492,668,454/x
  3. Step 3: Cross multiply
    228,149,538x = 492,668,454 × 492,668,454
  4. Step 4: Simplify right side
    228,149,538x = 242,722,205,566,750,112
  5. Step 5: Solve for x
    x = 242,722,205,566,750,112/228,149,538
  6. Step 6: Final answer
    x = 1,063,873,316.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.