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Finding the Third Proportional to 69,308.16 and 99,041.48

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Solution

The third proportional to 69,308.16 and 99,041.48 is: 141,530.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,308.16 : 99,041.48 = 99,041.48 : x
  2. Step 2: Convert to fraction form
    69,308.16/99,041.48 = 99,041.48/x
  3. Step 3: Cross multiply
    69,308.16x = 99,041.48 × 99,041.48
  4. Step 4: Simplify right side
    69,308.16x = 9,809,215,627.20
  5. Step 5: Solve for x
    x = 9,809,215,627.20/69,308.16
  6. Step 6: Final answer
    x = 141,530.47

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.