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Finding the Third Proportional to 110,636,835,550 and 238,053,790,182

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Solution

The third proportional to 110,636,835,550 and 238,053,790,182 is: 512,212,833,441.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,636,835,550 : 238,053,790,182 = 238,053,790,182 : x
  2. Step 2: Convert to fraction form
    110,636,835,550/238,053,790,182 = 238,053,790,182/x
  3. Step 3: Cross multiply
    110,636,835,550x = 238,053,790,182 × 238,053,790,182
  4. Step 4: Simplify right side
    110,636,835,550x = 56,669,607,020,015,680,225,280
  5. Step 5: Solve for x
    x = 56,669,607,020,015,680,225,280/110,636,835,550
  6. Step 6: Final answer
    x = 512,212,833,441.04

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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.