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Finding the Third Proportional to 43,354,254.82 and 101,163,421.13

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Solution

The third proportional to 43,354,254.82 and 101,163,421.13 is: 236,056,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,354,254.82 : 101,163,421.13 = 101,163,421.13 : x
  2. Step 2: Convert to fraction form
    43,354,254.82/101,163,421.13 = 101,163,421.13/x
  3. Step 3: Cross multiply
    43,354,254.82x = 101,163,421.13 × 101,163,421.13
  4. Step 4: Simplify right side
    43,354,254.82x = 10,234,037,773,714,096
  5. Step 5: Solve for x
    x = 10,234,037,773,714,096/43,354,254.82
  6. Step 6: Final answer
    x = 236,056,133.72

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.