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Finding the Third Proportional to 150,631,096.92 and 232,662,145.92

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Solution

The third proportional to 150,631,096.92 and 232,662,145.92 is: 359,365,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,631,096.92 : 232,662,145.92 = 232,662,145.92 : x
  2. Step 2: Convert to fraction form
    150,631,096.92/232,662,145.92 = 232,662,145.92/x
  3. Step 3: Cross multiply
    150,631,096.92x = 232,662,145.92 × 232,662,145.92
  4. Step 4: Simplify right side
    150,631,096.92x = 54,131,674,144,974,184
  5. Step 5: Solve for x
    x = 54,131,674,144,974,184/150,631,096.92
  6. Step 6: Final answer
    x = 359,365,863.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.