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Finding the Third Proportional to 110,338,281 and 238,228,998

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Solution

The third proportional to 110,338,281 and 238,228,998 is: 514,355,081.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,338,281 : 238,228,998 = 238,228,998 : x
  2. Step 2: Convert to fraction form
    110,338,281/238,228,998 = 238,228,998/x
  3. Step 3: Cross multiply
    110,338,281x = 238,228,998 × 238,228,998
  4. Step 4: Simplify right side
    110,338,281x = 56,753,055,488,084,000
  5. Step 5: Solve for x
    x = 56,753,055,488,084,000/110,338,281
  6. Step 6: Final answer
    x = 514,355,081.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.