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Finding the Third Proportional to 99,695.81 and 153,239.34

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Solution

The third proportional to 99,695.81 and 153,239.34 is: 235,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,695.81 : 153,239.34 = 153,239.34 : x
  2. Step 2: Convert to fraction form
    99,695.81/153,239.34 = 153,239.34/x
  3. Step 3: Cross multiply
    99,695.81x = 153,239.34 × 153,239.34
  4. Step 4: Simplify right side
    99,695.81x = 23,482,296,472.93
  5. Step 5: Solve for x
    x = 23,482,296,472.93/99,695.81
  6. Step 6: Final answer
    x = 235,539.45

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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.