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Finding the Third Proportional to 112,318,511,760 and 228,559,663,008

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Solution

The third proportional to 112,318,511,760 and 228,559,663,008 is: 465,101,600,223.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,318,511,760 : 228,559,663,008 = 228,559,663,008 : x
  2. Step 2: Convert to fraction form
    112,318,511,760/228,559,663,008 = 228,559,663,008/x
  3. Step 3: Cross multiply
    112,318,511,760x = 228,559,663,008 × 228,559,663,008
  4. Step 4: Simplify right side
    112,318,511,760x = 52,239,519,554,330,519,666,688
  5. Step 5: Solve for x
    x = 52,239,519,554,330,519,666,688/112,318,511,760
  6. Step 6: Final answer
    x = 465,101,600,223.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.