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Finding the Third Proportional to 66,056,164 and 138,135,326

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Solution

The third proportional to 66,056,164 and 138,135,326 is: 288,865,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,056,164 : 138,135,326 = 138,135,326 : x
  2. Step 2: Convert to fraction form
    66,056,164/138,135,326 = 138,135,326/x
  3. Step 3: Cross multiply
    66,056,164x = 138,135,326 × 138,135,326
  4. Step 4: Simplify right side
    66,056,164x = 19,081,368,289,126,276
  5. Step 5: Solve for x
    x = 19,081,368,289,126,276/66,056,164
  6. Step 6: Final answer
    x = 288,865,824.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.