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Finding the Third Proportional to 230,563,296 and 502,064,046

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Solution

The third proportional to 230,563,296 and 502,064,046 is: 1,093,271,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,563,296 : 502,064,046 = 502,064,046 : x
  2. Step 2: Convert to fraction form
    230,563,296/502,064,046 = 502,064,046/x
  3. Step 3: Cross multiply
    230,563,296x = 502,064,046 × 502,064,046
  4. Step 4: Simplify right side
    230,563,296x = 252,068,306,285,890,112
  5. Step 5: Solve for x
    x = 252,068,306,285,890,112/230,563,296
  6. Step 6: Final answer
    x = 1,093,271,612.00

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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.