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Finding the Third Proportional to 251,662,005 and 546,885,693.56

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Solution

The third proportional to 251,662,005 and 546,885,693.56 is: 1,188,435,106.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662,005 : 546,885,693.56 = 546,885,693.56 : x
  2. Step 2: Convert to fraction form
    251,662,005/546,885,693.56 = 546,885,693.56/x
  3. Step 3: Cross multiply
    251,662,005x = 546,885,693.56 × 546,885,693.56
  4. Step 4: Simplify right side
    251,662,005x = 299,083,961,823,336,640
  5. Step 5: Solve for x
    x = 299,083,961,823,336,640/251,662,005
  6. Step 6: Final answer
    x = 1,188,435,106.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.