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Finding the Third Proportional to 183,959,262 and 400,577,748

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Solution

The third proportional to 183,959,262 and 400,577,748 is: 872,272,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,959,262 : 400,577,748 = 400,577,748 : x
  2. Step 2: Convert to fraction form
    183,959,262/400,577,748 = 400,577,748/x
  3. Step 3: Cross multiply
    183,959,262x = 400,577,748 × 400,577,748
  4. Step 4: Simplify right side
    183,959,262x = 160,462,532,192,751,488
  5. Step 5: Solve for x
    x = 160,462,532,192,751,488/183,959,262
  6. Step 6: Final answer
    x = 872,272,102.25

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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.