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Finding the Third Proportional to 109,054,766,693.81 and 238,653,060,910.88

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Solution

The third proportional to 109,054,766,693.81 and 238,653,060,910.88 is: 522,263,127,131.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,054,766,693.81 : 238,653,060,910.88 = 238,653,060,910.88 : x
  2. Step 2: Convert to fraction form
    109,054,766,693.81/238,653,060,910.88 = 238,653,060,910.88/x
  3. Step 3: Cross multiply
    109,054,766,693.81x = 238,653,060,910.88 × 238,653,060,910.88
  4. Step 4: Simplify right side
    109,054,766,693.81x = 56,955,283,482,132,200,030,208
  5. Step 5: Solve for x
    x = 56,955,283,482,132,200,030,208/109,054,766,693.81
  6. Step 6: Final answer
    x = 522,263,127,131.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.