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Finding the Third Proportional to 109,580,294 and 164,514,609

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Solution

The third proportional to 109,580,294 and 164,514,609 is: 246,988,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,580,294 : 164,514,609 = 164,514,609 : x
  2. Step 2: Convert to fraction form
    109,580,294/164,514,609 = 164,514,609/x
  3. Step 3: Cross multiply
    109,580,294x = 164,514,609 × 164,514,609
  4. Step 4: Simplify right side
    109,580,294x = 27,065,056,574,422,880
  5. Step 5: Solve for x
    x = 27,065,056,574,422,880/109,580,294
  6. Step 6: Final answer
    x = 246,988,355.17

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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.