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Finding the Third Proportional to 251,691,693 and 546,953,245.50

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Solution

The third proportional to 251,691,693 and 546,953,245.50 is: 1,188,588,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,691,693 : 546,953,245.50 = 546,953,245.50 : x
  2. Step 2: Convert to fraction form
    251,691,693/546,953,245.50 = 546,953,245.50/x
  3. Step 3: Cross multiply
    251,691,693x = 546,953,245.50 × 546,953,245.50
  4. Step 4: Simplify right side
    251,691,693x = 299,157,852,762,983,296
  5. Step 5: Solve for x
    x = 299,157,852,762,983,296/251,691,693
  6. Step 6: Final answer
    x = 1,188,588,503.65

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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.