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Finding the Third Proportional to 99,133.88 and 141,319.69

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Solution

The third proportional to 99,133.88 and 141,319.69 is: 201,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,133.88 : 141,319.69 = 141,319.69 : x
  2. Step 2: Convert to fraction form
    99,133.88/141,319.69 = 141,319.69/x
  3. Step 3: Cross multiply
    99,133.88x = 141,319.69 × 141,319.69
  4. Step 4: Simplify right side
    99,133.88x = 19,971,254,075.10
  5. Step 5: Solve for x
    x = 19,971,254,075.10/99,133.88
  6. Step 6: Final answer
    x = 201,457.41

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Why These Related Problems?

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