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Finding the Third Proportional to 99,100.13 and 153,024.19

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Solution

The third proportional to 99,100.13 and 153,024.19 is: 236,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,100.13 : 153,024.19 = 153,024.19 : x
  2. Step 2: Convert to fraction form
    99,100.13/153,024.19 = 153,024.19/x
  3. Step 3: Cross multiply
    99,100.13x = 153,024.19 × 153,024.19
  4. Step 4: Simplify right side
    99,100.13x = 23,416,401,960.04
  5. Step 5: Solve for x
    x = 23,416,401,960.04/99,100.13
  6. Step 6: Final answer
    x = 236,290.34

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