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Finding the Third Proportional to 132,170,596 and 286,307,782

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Solution

The third proportional to 132,170,596 and 286,307,782 is: 620,199,564.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170,596 : 286,307,782 = 286,307,782 : x
  2. Step 2: Convert to fraction form
    132,170,596/286,307,782 = 286,307,782/x
  3. Step 3: Cross multiply
    132,170,596x = 286,307,782 × 286,307,782
  4. Step 4: Simplify right side
    132,170,596x = 81,972,146,033,759,520
  5. Step 5: Solve for x
    x = 81,972,146,033,759,520/132,170,596
  6. Step 6: Final answer
    x = 620,199,564.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.