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Finding the Third Proportional to 227,698,676 and 499,277,320

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Solution

The third proportional to 227,698,676 and 499,277,320 is: 1,094,770,714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,698,676 : 499,277,320 = 499,277,320 : x
  2. Step 2: Convert to fraction form
    227,698,676/499,277,320 = 499,277,320/x
  3. Step 3: Cross multiply
    227,698,676x = 499,277,320 × 499,277,320
  4. Step 4: Simplify right side
    227,698,676x = 249,277,842,266,382,400
  5. Step 5: Solve for x
    x = 249,277,842,266,382,400/227,698,676
  6. Step 6: Final answer
    x = 1,094,770,714.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.