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Finding the Third Proportional to 132,170,595 and 286,307,783

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Solution

The third proportional to 132,170,595 and 286,307,783 is: 620,199,573.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,170,595 : 286,307,783 = 286,307,783 : x
  2. Step 2: Convert to fraction form
    132,170,595/286,307,783 = 286,307,783/x
  3. Step 3: Cross multiply
    132,170,595x = 286,307,783 × 286,307,783
  4. Step 4: Simplify right side
    132,170,595x = 81,972,146,606,375,088
  5. Step 5: Solve for x
    x = 81,972,146,606,375,088/132,170,595
  6. Step 6: Final answer
    x = 620,199,573.18

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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.