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Finding the Third Proportional to 251,662,011.75 and 546,885,705.38

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Solution

The third proportional to 251,662,011.75 and 546,885,705.38 is: 1,188,435,126.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662,011.75 : 546,885,705.38 = 546,885,705.38 : x
  2. Step 2: Convert to fraction form
    251,662,011.75/546,885,705.38 = 546,885,705.38/x
  3. Step 3: Cross multiply
    251,662,011.75x = 546,885,705.38 × 546,885,705.38
  4. Step 4: Simplify right side
    251,662,011.75x = 299,083,974,743,511,296
  5. Step 5: Solve for x
    x = 299,083,974,743,511,296/251,662,011.75
  6. Step 6: Final answer
    x = 1,188,435,126.40

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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.