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Finding the Third Proportional to 109,580,169 and 164,514,388.50

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Solution

The third proportional to 109,580,169 and 164,514,388.50 is: 246,987,974.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580,169 : 164,514,388.50 = 164,514,388.50 : x
  2. Step 2: Convert to fraction form
    109,580,169/164,514,388.50 = 164,514,388.50/x
  3. Step 3: Cross multiply
    109,580,169x = 164,514,388.50 × 164,514,388.50
  4. Step 4: Simplify right side
    109,580,169x = 27,064,984,023,528,932
  5. Step 5: Solve for x
    x = 27,064,984,023,528,932/109,580,169
  6. Step 6: Final answer
    x = 246,987,974.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.