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Finding the Third Proportional to 109,580,288 and 164,514,600

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Solution

The third proportional to 109,580,288 and 164,514,600 is: 246,988,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580,288 : 164,514,600 = 164,514,600 : x
  2. Step 2: Convert to fraction form
    109,580,288/164,514,600 = 164,514,600/x
  3. Step 3: Cross multiply
    109,580,288x = 164,514,600 × 164,514,600
  4. Step 4: Simplify right side
    109,580,288x = 27,065,053,613,160,000
  5. Step 5: Solve for x
    x = 27,065,053,613,160,000/109,580,288
  6. Step 6: Final answer
    x = 246,988,341.67

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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.