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Finding the Third Proportional to 153,218,976 and 214,996,554

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Solution

The third proportional to 153,218,976 and 214,996,554 is: 301,682,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,218,976 : 214,996,554 = 214,996,554 : x
  2. Step 2: Convert to fraction form
    153,218,976/214,996,554 = 214,996,554/x
  3. Step 3: Cross multiply
    153,218,976x = 214,996,554 × 214,996,554
  4. Step 4: Simplify right side
    153,218,976x = 46,223,518,231,874,912
  5. Step 5: Solve for x
    x = 46,223,518,231,874,912/153,218,976
  6. Step 6: Final answer
    x = 301,682,725.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.