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Finding the Third Proportional to 105,892,341 and 154,774,689.25

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Solution

The third proportional to 105,892,341 and 154,774,689.25 is: 226,222,257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,892,341 : 154,774,689.25 = 154,774,689.25 : x
  2. Step 2: Convert to fraction form
    105,892,341/154,774,689.25 = 154,774,689.25/x
  3. Step 3: Cross multiply
    105,892,341x = 154,774,689.25 × 154,774,689.25
  4. Step 4: Simplify right side
    105,892,341x = 23,955,204,432,434,064
  5. Step 5: Solve for x
    x = 23,955,204,432,434,064/105,892,341
  6. Step 6: Final answer
    x = 226,222,257.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.