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Finding the Third Proportional to 193,939,068,054 and 453,129,171,937.50

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Solution

The third proportional to 193,939,068,054 and 453,129,171,937.50 is: 1,058,714,206,070.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,939,068,054 : 453,129,171,937.50 = 453,129,171,937.50 : x
  2. Step 2: Convert to fraction form
    193,939,068,054/453,129,171,937.50 = 453,129,171,937.50/x
  3. Step 3: Cross multiply
    193,939,068,054x = 453,129,171,937.50 × 453,129,171,937.50
  4. Step 4: Simplify right side
    193,939,068,054x = 205,326,046,460,764,441,542,656
  5. Step 5: Solve for x
    x = 205,326,046,460,764,441,542,656/193,939,068,054
  6. Step 6: Final answer
    x = 1,058,714,206,070.09

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.