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Finding the Third Proportional to 106,649,998 and 159,276,129

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Solution

The third proportional to 106,649,998 and 159,276,129 is: 237,870,471.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,649,998 : 159,276,129 = 159,276,129 : x
  2. Step 2: Convert to fraction form
    106,649,998/159,276,129 = 159,276,129/x
  3. Step 3: Cross multiply
    106,649,998x = 159,276,129 × 159,276,129
  4. Step 4: Simplify right side
    106,649,998x = 25,368,885,269,224,640
  5. Step 5: Solve for x
    x = 25,368,885,269,224,640/106,649,998
  6. Step 6: Final answer
    x = 237,870,471.12

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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.