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Finding the Third Proportional to 96,398 and 148,355

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Solution

The third proportional to 96,398 and 148,355 is: 228,316.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,398 : 148,355 = 148,355 : x
  2. Step 2: Convert to fraction form
    96,398/148,355 = 148,355/x
  3. Step 3: Cross multiply
    96,398x = 148,355 × 148,355
  4. Step 4: Simplify right side
    96,398x = 22,009,206,025
  5. Step 5: Solve for x
    x = 22,009,206,025/96,398
  6. Step 6: Final answer
    x = 228,316.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.