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Finding the Third Proportional to 106,649,986.50 and 159,276,111.75

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Solution

The third proportional to 106,649,986.50 and 159,276,111.75 is: 237,870,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649,986.50 : 159,276,111.75 = 159,276,111.75 : x
  2. Step 2: Convert to fraction form
    106,649,986.50/159,276,111.75 = 159,276,111.75/x
  3. Step 3: Cross multiply
    106,649,986.50x = 159,276,111.75 × 159,276,111.75
  4. Step 4: Simplify right side
    106,649,986.50x = 25,368,879,774,198,488
  5. Step 5: Solve for x
    x = 25,368,879,774,198,488/106,649,986.50
  6. Step 6: Final answer
    x = 237,870,445.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.