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Finding the Third Proportional to 96,465 and 150,871.50

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Solution

The third proportional to 96,465 and 150,871.50 is: 235,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465 : 150,871.50 = 150,871.50 : x
  2. Step 2: Convert to fraction form
    96,465/150,871.50 = 150,871.50/x
  3. Step 3: Cross multiply
    96,465x = 150,871.50 × 150,871.50
  4. Step 4: Simplify right side
    96,465x = 22,762,209,512.25
  5. Step 5: Solve for x
    x = 22,762,209,512.25/96,465
  6. Step 6: Final answer
    x = 235,963.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.