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Finding the Third Proportional to 88,117.88 and 186,715.13

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Solution

The third proportional to 88,117.88 and 186,715.13 is: 395,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,117.88 : 186,715.13 = 186,715.13 : x
  2. Step 2: Convert to fraction form
    88,117.88/186,715.13 = 186,715.13/x
  3. Step 3: Cross multiply
    88,117.88x = 186,715.13 × 186,715.13
  4. Step 4: Simplify right side
    88,117.88x = 34,862,537,903.77
  5. Step 5: Solve for x
    x = 34,862,537,903.77/88,117.88
  6. Step 6: Final answer
    x = 395,635.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.