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Finding the Third Proportional to 164,541,568 and 240,755,451

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Solution

The third proportional to 164,541,568 and 240,755,451 is: 352,270,784.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,541,568 : 240,755,451 = 240,755,451 : x
  2. Step 2: Convert to fraction form
    164,541,568/240,755,451 = 240,755,451/x
  3. Step 3: Cross multiply
    164,541,568x = 240,755,451 × 240,755,451
  4. Step 4: Simplify right side
    164,541,568x = 57,963,187,186,213,400
  5. Step 5: Solve for x
    x = 57,963,187,186,213,400/164,541,568
  6. Step 6: Final answer
    x = 352,270,784.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.