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Finding the Third Proportional to 174,750,076 and 378,578,500

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Solution

The third proportional to 174,750,076 and 378,578,500 is: 820,152,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,750,076 : 378,578,500 = 378,578,500 : x
  2. Step 2: Convert to fraction form
    174,750,076/378,578,500 = 378,578,500/x
  3. Step 3: Cross multiply
    174,750,076x = 378,578,500 × 378,578,500
  4. Step 4: Simplify right side
    174,750,076x = 143,321,680,662,250,000
  5. Step 5: Solve for x
    x = 143,321,680,662,250,000/174,750,076
  6. Step 6: Final answer
    x = 820,152,322.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.