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Finding the Third Proportional to 99,031.50 and 153,409.50

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Solution

The third proportional to 99,031.50 and 153,409.50 is: 237,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,031.50 : 153,409.50 = 153,409.50 : x
  2. Step 2: Convert to fraction form
    99,031.50/153,409.50 = 153,409.50/x
  3. Step 3: Cross multiply
    99,031.50x = 153,409.50 × 153,409.50
  4. Step 4: Simplify right side
    99,031.50x = 23,534,474,690.25
  5. Step 5: Solve for x
    x = 23,534,474,690.25/99,031.50
  6. Step 6: Final answer
    x = 237,646.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.