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Finding the Third Proportional to 49,232,691 and 107,134,650

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Solution

The third proportional to 49,232,691 and 107,134,650 is: 233,134,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,232,691 : 107,134,650 = 107,134,650 : x
  2. Step 2: Convert to fraction form
    49,232,691/107,134,650 = 107,134,650/x
  3. Step 3: Cross multiply
    49,232,691x = 107,134,650 × 107,134,650
  4. Step 4: Simplify right side
    49,232,691x = 11,477,833,230,622,500
  5. Step 5: Solve for x
    x = 11,477,833,230,622,500/49,232,691
  6. Step 6: Final answer
    x = 233,134,386.88

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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.