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Finding the Third Proportional to 84,725,139 and 182,887,206

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Solution

The third proportional to 84,725,139 and 182,887,206 is: 394,779,288.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,725,139 : 182,887,206 = 182,887,206 : x
  2. Step 2: Convert to fraction form
    84,725,139/182,887,206 = 182,887,206/x
  3. Step 3: Cross multiply
    84,725,139x = 182,887,206 × 182,887,206
  4. Step 4: Simplify right side
    84,725,139x = 33,447,730,118,486,436
  5. Step 5: Solve for x
    x = 33,447,730,118,486,436/84,725,139
  6. Step 6: Final answer
    x = 394,779,288.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.