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Finding the Third Proportional to 99,312.75 and 151,264.13

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Solution

The third proportional to 99,312.75 and 151,264.13 is: 230,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,312.75 : 151,264.13 = 151,264.13 : x
  2. Step 2: Convert to fraction form
    99,312.75/151,264.13 = 151,264.13/x
  3. Step 3: Cross multiply
    99,312.75x = 151,264.13 × 151,264.13
  4. Step 4: Simplify right side
    99,312.75x = 22,880,835,512.02
  5. Step 5: Solve for x
    x = 22,880,835,512.02/99,312.75
  6. Step 6: Final answer
    x = 230,391.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.