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Finding the Third Proportional to 106,753,072 and 233,080,892

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Solution

The third proportional to 106,753,072 and 233,080,892 is: 508,900,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,753,072 : 233,080,892 = 233,080,892 : x
  2. Step 2: Convert to fraction form
    106,753,072/233,080,892 = 233,080,892/x
  3. Step 3: Cross multiply
    106,753,072x = 233,080,892 × 233,080,892
  4. Step 4: Simplify right side
    106,753,072x = 54,326,702,215,515,664
  5. Step 5: Solve for x
    x = 54,326,702,215,515,664/106,753,072
  6. Step 6: Final answer
    x = 508,900,598.34

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