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Finding the Third Proportional to 102,223.27 and 209,547.63

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Solution

The third proportional to 102,223.27 and 209,547.63 is: 429,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,223.27 : 209,547.63 = 209,547.63 : x
  2. Step 2: Convert to fraction form
    102,223.27/209,547.63 = 209,547.63/x
  3. Step 3: Cross multiply
    102,223.27x = 209,547.63 × 209,547.63
  4. Step 4: Simplify right side
    102,223.27x = 43,910,210,417.32
  5. Step 5: Solve for x
    x = 43,910,210,417.32/102,223.27
  6. Step 6: Final answer
    x = 429,552.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.