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Finding the Third Proportional to 105,964,357,818 and 162,874,815,227

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Solution

The third proportional to 105,964,357,818 and 162,874,815,227 is: 250,350,268,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,964,357,818 : 162,874,815,227 = 162,874,815,227 : x
  2. Step 2: Convert to fraction form
    105,964,357,818/162,874,815,227 = 162,874,815,227/x
  3. Step 3: Cross multiply
    105,964,357,818x = 162,874,815,227 × 162,874,815,227
  4. Step 4: Simplify right side
    105,964,357,818x = 26,528,205,435,229,391,814,656
  5. Step 5: Solve for x
    x = 26,528,205,435,229,391,814,656/105,964,357,818
  6. Step 6: Final answer
    x = 250,350,268,538.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.