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Finding the Third Proportional to 85,502,718 and 141,520,014

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Solution

The third proportional to 85,502,718 and 141,520,014 is: 234,237,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,502,718 : 141,520,014 = 141,520,014 : x
  2. Step 2: Convert to fraction form
    85,502,718/141,520,014 = 141,520,014/x
  3. Step 3: Cross multiply
    85,502,718x = 141,520,014 × 141,520,014
  4. Step 4: Simplify right side
    85,502,718x = 20,027,914,362,560,196
  5. Step 5: Solve for x
    x = 20,027,914,362,560,196/85,502,718
  6. Step 6: Final answer
    x = 234,237,166.15

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.