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Finding the Third Proportional to 110,636,835,457.50 and 238,053,789,999

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Solution

The third proportional to 110,636,835,457.50 and 238,053,789,999 is: 512,212,833,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,636,835,457.50 : 238,053,789,999 = 238,053,789,999 : x
  2. Step 2: Convert to fraction form
    110,636,835,457.50/238,053,789,999 = 238,053,789,999/x
  3. Step 3: Cross multiply
    110,636,835,457.50x = 238,053,789,999 × 238,053,789,999
  4. Step 4: Simplify right side
    110,636,835,457.50x = 56,669,606,932,887,990,435,840
  5. Step 5: Solve for x
    x = 56,669,606,932,887,990,435,840/110,636,835,457.50
  6. Step 6: Final answer
    x = 512,212,833,081.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.