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Finding the Third Proportional to 159,311,962 and 240,433,476

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Solution

The third proportional to 159,311,962 and 240,433,476 is: 362,861,995.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,311,962 : 240,433,476 = 240,433,476 : x
  2. Step 2: Convert to fraction form
    159,311,962/240,433,476 = 240,433,476/x
  3. Step 3: Cross multiply
    159,311,962x = 240,433,476 × 240,433,476
  4. Step 4: Simplify right side
    159,311,962x = 57,808,256,381,442,576
  5. Step 5: Solve for x
    x = 57,808,256,381,442,576/159,311,962
  6. Step 6: Final answer
    x = 362,861,995.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.