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Finding the Third Proportional to 230,563,138.50 and 502,063,749

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Solution

The third proportional to 230,563,138.50 and 502,063,749 is: 1,093,271,065.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,563,138.50 : 502,063,749 = 502,063,749 : x
  2. Step 2: Convert to fraction form
    230,563,138.50/502,063,749 = 502,063,749/x
  3. Step 3: Cross multiply
    230,563,138.50x = 502,063,749 × 502,063,749
  4. Step 4: Simplify right side
    230,563,138.50x = 252,068,008,059,935,008
  5. Step 5: Solve for x
    x = 252,068,008,059,935,008/230,563,138.50
  6. Step 6: Final answer
    x = 1,093,271,065.36

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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.