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Finding the Third Proportional to 99,003 and 153,193.50

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Solution

The third proportional to 99,003 and 153,193.50 is: 237,045.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,003 : 153,193.50 = 153,193.50 : x
  2. Step 2: Convert to fraction form
    99,003/153,193.50 = 153,193.50/x
  3. Step 3: Cross multiply
    99,003x = 153,193.50 × 153,193.50
  4. Step 4: Simplify right side
    99,003x = 23,468,248,442.25
  5. Step 5: Solve for x
    x = 23,468,248,442.25/99,003
  6. Step 6: Final answer
    x = 237,045.83

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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.