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Finding the Third Proportional to 99,495 and 140,653.13

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Solution

The third proportional to 99,495 and 140,653.13 is: 198,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,495 : 140,653.13 = 140,653.13 : x
  2. Step 2: Convert to fraction form
    99,495/140,653.13 = 140,653.13/x
  3. Step 3: Cross multiply
    99,495x = 140,653.13 × 140,653.13
  4. Step 4: Simplify right side
    99,495x = 19,783,301,572.27
  5. Step 5: Solve for x
    x = 19,783,301,572.27/99,495
  6. Step 6: Final answer
    x = 198,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.