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Finding the Third Proportional to 173,843,457 and 368,413,114

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Solution

The third proportional to 173,843,457 and 368,413,114 is: 780,749,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,843,457 : 368,413,114 = 368,413,114 : x
  2. Step 2: Convert to fraction form
    173,843,457/368,413,114 = 368,413,114/x
  3. Step 3: Cross multiply
    173,843,457x = 368,413,114 × 368,413,114
  4. Step 4: Simplify right side
    173,843,457x = 135,728,222,567,176,992
  5. Step 5: Solve for x
    x = 135,728,222,567,176,992/173,843,457
  6. Step 6: Final answer
    x = 780,749,675.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.