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Finding the Third Proportional to 105,297,720 and 234,792,582

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Solution

The third proportional to 105,297,720 and 234,792,582 is: 523,539,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,297,720 : 234,792,582 = 234,792,582 : x
  2. Step 2: Convert to fraction form
    105,297,720/234,792,582 = 234,792,582/x
  3. Step 3: Cross multiply
    105,297,720x = 234,792,582 × 234,792,582
  4. Step 4: Simplify right side
    105,297,720x = 55,127,556,562,226,720
  5. Step 5: Solve for x
    x = 55,127,556,562,226,720/105,297,720
  6. Step 6: Final answer
    x = 523,539,888.25

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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.