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Finding the Third Proportional to 110,422,752.19 and 239,248,223.44

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Solution

The third proportional to 110,422,752.19 and 239,248,223.44 is: 518,368,826.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,422,752.19 : 239,248,223.44 = 239,248,223.44 : x
  2. Step 2: Convert to fraction form
    110,422,752.19/239,248,223.44 = 239,248,223.44/x
  3. Step 3: Cross multiply
    110,422,752.19x = 239,248,223.44 × 239,248,223.44
  4. Step 4: Simplify right side
    110,422,752.19x = 57,239,712,417,999,928
  5. Step 5: Solve for x
    x = 57,239,712,417,999,928/110,422,752.19
  6. Step 6: Final answer
    x = 518,368,826.03

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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.