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Finding the Third Proportional to 175,858,176.75 and 258,672,145.50

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Solution

The third proportional to 175,858,176.75 and 258,672,145.50 is: 380,484,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,858,176.75 : 258,672,145.50 = 258,672,145.50 : x
  2. Step 2: Convert to fraction form
    175,858,176.75/258,672,145.50 = 258,672,145.50/x
  3. Step 3: Cross multiply
    175,858,176.75x = 258,672,145.50 × 258,672,145.50
  4. Step 4: Simplify right side
    175,858,176.75x = 66,911,278,857,573,168
  5. Step 5: Solve for x
    x = 66,911,278,857,573,168/175,858,176.75
  6. Step 6: Final answer
    x = 380,484,320.34

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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.