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Finding the Third Proportional to 110,422,750.50 and 239,248,228.50

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Solution

The third proportional to 110,422,750.50 and 239,248,228.50 is: 518,368,855.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422,750.50 : 239,248,228.50 = 239,248,228.50 : x
  2. Step 2: Convert to fraction form
    110,422,750.50/239,248,228.50 = 239,248,228.50/x
  3. Step 3: Cross multiply
    110,422,750.50x = 239,248,228.50 × 239,248,228.50
  4. Step 4: Simplify right side
    110,422,750.50x = 57,239,714,840,388,216
  5. Step 5: Solve for x
    x = 57,239,714,840,388,216/110,422,750.50
  6. Step 6: Final answer
    x = 518,368,855.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.