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Finding the Third Proportional to 76,398,324.19 and 165,716,254.69

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Solution

The third proportional to 76,398,324.19 and 165,716,254.69 is: 359,456,537.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398,324.19 : 165,716,254.69 = 165,716,254.69 : x
  2. Step 2: Convert to fraction form
    76,398,324.19/165,716,254.69 = 165,716,254.69/x
  3. Step 3: Cross multiply
    76,398,324.19x = 165,716,254.69 × 165,716,254.69
  4. Step 4: Simplify right side
    76,398,324.19x = 27,461,877,067,652,364
  5. Step 5: Solve for x
    x = 27,461,877,067,652,364/76,398,324.19
  6. Step 6: Final answer
    x = 359,456,537.30

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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.