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Finding the Third Proportional to 147,536.86 and 216,464.06

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Solution

The third proportional to 147,536.86 and 216,464.06 is: 317,593.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,536.86 : 216,464.06 = 216,464.06 : x
  2. Step 2: Convert to fraction form
    147,536.86/216,464.06 = 216,464.06/x
  3. Step 3: Cross multiply
    147,536.86x = 216,464.06 × 216,464.06
  4. Step 4: Simplify right side
    147,536.86x = 46,856,690,354.00
  5. Step 5: Solve for x
    x = 46,856,690,354.00/147,536.86
  6. Step 6: Final answer
    x = 317,593.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.