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Finding the Third Proportional to 138,456,174 and 295,444,284

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Solution

The third proportional to 138,456,174 and 295,444,284 is: 630,432,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456,174 : 295,444,284 = 295,444,284 : x
  2. Step 2: Convert to fraction form
    138,456,174/295,444,284 = 295,444,284/x
  3. Step 3: Cross multiply
    138,456,174x = 295,444,284 × 295,444,284
  4. Step 4: Simplify right side
    138,456,174x = 87,287,324,948,272,656
  5. Step 5: Solve for x
    x = 87,287,324,948,272,656/138,456,174
  6. Step 6: Final answer
    x = 630,432,883.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.