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Finding the Third Proportional to 102,151.13 and 223,678.13

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Solution

The third proportional to 102,151.13 and 223,678.13 is: 489,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,151.13 : 223,678.13 = 223,678.13 : x
  2. Step 2: Convert to fraction form
    102,151.13/223,678.13 = 223,678.13/x
  3. Step 3: Cross multiply
    102,151.13x = 223,678.13 × 223,678.13
  4. Step 4: Simplify right side
    102,151.13x = 50,031,903,603.52
  5. Step 5: Solve for x
    x = 50,031,903,603.52/102,151.13
  6. Step 6: Final answer
    x = 489,783.19

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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.