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Finding the Third Proportional to 103,816.13 and 148,456.13

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Solution

The third proportional to 103,816.13 and 148,456.13 is: 212,290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.13 : 148,456.13 = 148,456.13 : x
  2. Step 2: Convert to fraction form
    103,816.13/148,456.13 = 148,456.13/x
  3. Step 3: Cross multiply
    103,816.13x = 148,456.13 × 148,456.13
  4. Step 4: Simplify right side
    103,816.13x = 22,039,221,050.02
  5. Step 5: Solve for x
    x = 22,039,221,050.02/103,816.13
  6. Step 6: Final answer
    x = 212,290.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.