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Finding the Third Proportional to 65,008.13 and 99,784.13

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Solution

The third proportional to 65,008.13 and 99,784.13 is: 153,163.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,008.13 : 99,784.13 = 99,784.13 : x
  2. Step 2: Convert to fraction form
    65,008.13/99,784.13 = 99,784.13/x
  3. Step 3: Cross multiply
    65,008.13x = 99,784.13 × 99,784.13
  4. Step 4: Simplify right side
    65,008.13x = 9,956,871,602.02
  5. Step 5: Solve for x
    x = 9,956,871,602.02/65,008.13
  6. Step 6: Final answer
    x = 153,163.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.