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Finding the Third Proportional to 136,010,384 and 293,514,280

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Solution

The third proportional to 136,010,384 and 293,514,280 is: 633,412,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,010,384 : 293,514,280 = 293,514,280 : x
  2. Step 2: Convert to fraction form
    136,010,384/293,514,280 = 293,514,280/x
  3. Step 3: Cross multiply
    136,010,384x = 293,514,280 × 293,514,280
  4. Step 4: Simplify right side
    136,010,384x = 86,150,632,563,918,400
  5. Step 5: Solve for x
    x = 86,150,632,563,918,400/136,010,384
  6. Step 6: Final answer
    x = 633,412,170.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.