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Finding the Third Proportional to 234,107,906.50 and 542,124,346.50

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Solution

The third proportional to 234,107,906.50 and 542,124,346.50 is: 1,255,398,894.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,107,906.50 : 542,124,346.50 = 542,124,346.50 : x
  2. Step 2: Convert to fraction form
    234,107,906.50/542,124,346.50 = 542,124,346.50/x
  3. Step 3: Cross multiply
    234,107,906.50x = 542,124,346.50 × 542,124,346.50
  4. Step 4: Simplify right side
    234,107,906.50x = 293,898,807,068,052,032
  5. Step 5: Solve for x
    x = 293,898,807,068,052,032/234,107,906.50
  6. Step 6: Final answer
    x = 1,255,398,894.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.