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Finding the Third Proportional to 251,662,001.63 and 546,885,690.19

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Solution

The third proportional to 251,662,001.63 and 546,885,690.19 is: 1,188,435,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,662,001.63 : 546,885,690.19 = 546,885,690.19 : x
  2. Step 2: Convert to fraction form
    251,662,001.63/546,885,690.19 = 546,885,690.19/x
  3. Step 3: Cross multiply
    251,662,001.63x = 546,885,690.19 × 546,885,690.19
  4. Step 4: Simplify right side
    251,662,001.63x = 299,083,958,131,858,240
  5. Step 5: Solve for x
    x = 299,083,958,131,858,240/251,662,001.63
  6. Step 6: Final answer
    x = 1,188,435,108.20

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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.