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Finding the Third Proportional to 107,716,475.25 and 170,592,599.25

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Solution

The third proportional to 107,716,475.25 and 170,592,599.25 is: 270,170,694.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,716,475.25 : 170,592,599.25 = 170,592,599.25 : x
  2. Step 2: Convert to fraction form
    107,716,475.25/170,592,599.25 = 170,592,599.25/x
  3. Step 3: Cross multiply
    107,716,475.25x = 170,592,599.25 × 170,592,599.25
  4. Step 4: Simplify right side
    107,716,475.25x = 29,101,834,918,871,100
  5. Step 5: Solve for x
    x = 29,101,834,918,871,100/107,716,475.25
  6. Step 6: Final answer
    x = 270,170,694.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.