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Finding the Third Proportional to 136,010,376 and 293,514,264

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Solution

The third proportional to 136,010,376 and 293,514,264 is: 633,412,138.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,010,376 : 293,514,264 = 293,514,264 : x
  2. Step 2: Convert to fraction form
    136,010,376/293,514,264 = 293,514,264/x
  3. Step 3: Cross multiply
    136,010,376x = 293,514,264 × 293,514,264
  4. Step 4: Simplify right side
    136,010,376x = 86,150,623,171,461,696
  5. Step 5: Solve for x
    x = 86,150,623,171,461,696/136,010,376
  6. Step 6: Final answer
    x = 633,412,138.88

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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.