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Finding the Third Proportional to 99,293 and 138,895.50

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Solution

The third proportional to 99,293 and 138,895.50 is: 194,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,293 : 138,895.50 = 138,895.50 : x
  2. Step 2: Convert to fraction form
    99,293/138,895.50 = 138,895.50/x
  3. Step 3: Cross multiply
    99,293x = 138,895.50 × 138,895.50
  4. Step 4: Simplify right side
    99,293x = 19,291,959,920.25
  5. Step 5: Solve for x
    x = 19,291,959,920.25/99,293
  6. Step 6: Final answer
    x = 194,293.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.