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Finding the Third Proportional to 102,333.38 and 221,312.25

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Solution

The third proportional to 102,333.38 and 221,312.25 is: 478,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,333.38 : 221,312.25 = 221,312.25 : x
  2. Step 2: Convert to fraction form
    102,333.38/221,312.25 = 221,312.25/x
  3. Step 3: Cross multiply
    102,333.38x = 221,312.25 × 221,312.25
  4. Step 4: Simplify right side
    102,333.38x = 48,979,112,000.06
  5. Step 5: Solve for x
    x = 48,979,112,000.06/102,333.38
  6. Step 6: Final answer
    x = 478,623.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.