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Finding the Third Proportional to 78,970.88 and 186,423.38

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Solution

The third proportional to 78,970.88 and 186,423.38 is: 440,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970.88 : 186,423.38 = 186,423.38 : x
  2. Step 2: Convert to fraction form
    78,970.88/186,423.38 = 186,423.38/x
  3. Step 3: Cross multiply
    78,970.88x = 186,423.38 × 186,423.38
  4. Step 4: Simplify right side
    78,970.88x = 34,753,674,746.39
  5. Step 5: Solve for x
    x = 34,753,674,746.39/78,970.88
  6. Step 6: Final answer
    x = 440,082.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.