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Finding the Third Proportional to 68,569,243 and 146,437,892

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Solution

The third proportional to 68,569,243 and 146,437,892 is: 312,735,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,243 : 146,437,892 = 146,437,892 : x
  2. Step 2: Convert to fraction form
    68,569,243/146,437,892 = 146,437,892/x
  3. Step 3: Cross multiply
    68,569,243x = 146,437,892 × 146,437,892
  4. Step 4: Simplify right side
    68,569,243x = 21,444,056,213,403,664
  5. Step 5: Solve for x
    x = 21,444,056,213,403,664/68,569,243
  6. Step 6: Final answer
    x = 312,735,787.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.