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Finding the Third Proportional to 232,603,092 and 507,456,072

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Solution

The third proportional to 232,603,092 and 507,456,072 is: 1,107,086,164.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,603,092 : 507,456,072 = 507,456,072 : x
  2. Step 2: Convert to fraction form
    232,603,092/507,456,072 = 507,456,072/x
  3. Step 3: Cross multiply
    232,603,092x = 507,456,072 × 507,456,072
  4. Step 4: Simplify right side
    232,603,092x = 257,511,665,009,669,184
  5. Step 5: Solve for x
    x = 257,511,665,009,669,184/232,603,092
  6. Step 6: Final answer
    x = 1,107,086,164.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.