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Finding the Third Proportional to 172,272,429.75 and 264,795,197.25

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Solution

The third proportional to 172,272,429.75 and 264,795,197.25 is: 407,009,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,272,429.75 : 264,795,197.25 = 264,795,197.25 : x
  2. Step 2: Convert to fraction form
    172,272,429.75/264,795,197.25 = 264,795,197.25/x
  3. Step 3: Cross multiply
    172,272,429.75x = 264,795,197.25 × 264,795,197.25
  4. Step 4: Simplify right side
    172,272,429.75x = 70,116,496,486,666,408
  5. Step 5: Solve for x
    x = 70,116,496,486,666,408/172,272,429.75
  6. Step 6: Final answer
    x = 407,009,389.65

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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.