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Finding the Third Proportional to 68,298,256 and 149,077,952

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Solution

The third proportional to 68,298,256 and 149,077,952 is: 325,399,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,298,256 : 149,077,952 = 149,077,952 : x
  2. Step 2: Convert to fraction form
    68,298,256/149,077,952 = 149,077,952/x
  3. Step 3: Cross multiply
    68,298,256x = 149,077,952 × 149,077,952
  4. Step 4: Simplify right side
    68,298,256x = 22,224,235,772,514,304
  5. Step 5: Solve for x
    x = 22,224,235,772,514,304/68,298,256
  6. Step 6: Final answer
    x = 325,399,755.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.