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Finding the Third Proportional to 105,295,824 and 234,788,824

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Solution

The third proportional to 105,295,824 and 234,788,824 is: 523,532,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295,824 : 234,788,824 = 234,788,824 : x
  2. Step 2: Convert to fraction form
    105,295,824/234,788,824 = 234,788,824/x
  3. Step 3: Cross multiply
    105,295,824x = 234,788,824 × 234,788,824
  4. Step 4: Simplify right side
    105,295,824x = 55,125,791,875,302,976
  5. Step 5: Solve for x
    x = 55,125,791,875,302,976/105,295,824
  6. Step 6: Final answer
    x = 523,532,556.00

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.