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Finding the Third Proportional to 145,663.31 and 196,803.84

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Solution

The third proportional to 145,663.31 and 196,803.84 is: 265,899.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,663.31 : 196,803.84 = 196,803.84 : x
  2. Step 2: Convert to fraction form
    145,663.31/196,803.84 = 196,803.84/x
  3. Step 3: Cross multiply
    145,663.31x = 196,803.84 × 196,803.84
  4. Step 4: Simplify right side
    145,663.31x = 38,731,752,914.77
  5. Step 5: Solve for x
    x = 38,731,752,914.77/145,663.31
  6. Step 6: Final answer
    x = 265,899.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.