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Finding the Third Proportional to 172,272,323 and 264,795,017

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Solution

The third proportional to 172,272,323 and 264,795,017 is: 407,009,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,323 : 264,795,017 = 264,795,017 : x
  2. Step 2: Convert to fraction form
    172,272,323/264,795,017 = 264,795,017/x
  3. Step 3: Cross multiply
    172,272,323x = 264,795,017 × 264,795,017
  4. Step 4: Simplify right side
    172,272,323x = 70,116,401,028,030,288
  5. Step 5: Solve for x
    x = 70,116,401,028,030,288/172,272,323
  6. Step 6: Final answer
    x = 407,009,087.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.