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Finding the Third Proportional to 175,830,660 and 258,477,732

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Solution

The third proportional to 175,830,660 and 258,477,732 is: 379,972,059.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,830,660 : 258,477,732 = 258,477,732 : x
  2. Step 2: Convert to fraction form
    175,830,660/258,477,732 = 258,477,732/x
  3. Step 3: Cross multiply
    175,830,660x = 258,477,732 × 258,477,732
  4. Step 4: Simplify right side
    175,830,660x = 66,810,737,939,863,824
  5. Step 5: Solve for x
    x = 66,810,737,939,863,824/175,830,660
  6. Step 6: Final answer
    x = 379,972,059.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.