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Finding the Third Proportional to 68,569,370 and 146,438,140

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Solution

The third proportional to 68,569,370 and 146,438,140 is: 312,736,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,569,370 : 146,438,140 = 146,438,140 : x
  2. Step 2: Convert to fraction form
    68,569,370/146,438,140 = 146,438,140/x
  3. Step 3: Cross multiply
    68,569,370x = 146,438,140 × 146,438,140
  4. Step 4: Simplify right side
    68,569,370x = 21,444,128,846,659,600
  5. Step 5: Solve for x
    x = 21,444,128,846,659,600/68,569,370
  6. Step 6: Final answer
    x = 312,736,267.62

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