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Finding the Third Proportional to 228,149,487 and 492,668,271

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Solution

The third proportional to 228,149,487 and 492,668,271 is: 1,063,872,763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,149,487 : 492,668,271 = 492,668,271 : x
  2. Step 2: Convert to fraction form
    228,149,487/492,668,271 = 492,668,271/x
  3. Step 3: Cross multiply
    228,149,487x = 492,668,271 × 492,668,271
  4. Step 4: Simplify right side
    228,149,487x = 242,722,025,250,129,440
  5. Step 5: Solve for x
    x = 242,722,025,250,129,440/228,149,487
  6. Step 6: Final answer
    x = 1,063,872,763.61

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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.