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Finding the Third Proportional to 96,117 and 210,328.69

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Solution

The third proportional to 96,117 and 210,328.69 is: 460,253.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,117 : 210,328.69 = 210,328.69 : x
  2. Step 2: Convert to fraction form
    96,117/210,328.69 = 210,328.69/x
  3. Step 3: Cross multiply
    96,117x = 210,328.69 × 210,328.69
  4. Step 4: Simplify right side
    96,117x = 44,238,156,785.47
  5. Step 5: Solve for x
    x = 44,238,156,785.47/96,117
  6. Step 6: Final answer
    x = 460,253.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.