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Finding the Third Proportional to 109,580,272 and 164,514,576

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Solution

The third proportional to 109,580,272 and 164,514,576 is: 246,988,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580,272 : 164,514,576 = 164,514,576 : x
  2. Step 2: Convert to fraction form
    109,580,272/164,514,576 = 164,514,576/x
  3. Step 3: Cross multiply
    109,580,272x = 164,514,576 × 164,514,576
  4. Step 4: Simplify right side
    109,580,272x = 27,065,045,716,459,776
  5. Step 5: Solve for x
    x = 27,065,045,716,459,776/109,580,272
  6. Step 6: Final answer
    x = 246,988,305.67

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Why These Related Problems?

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