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Finding the Third Proportional to 171,000,297 and 358,796,754

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Solution

The third proportional to 171,000,297 and 358,796,754 is: 752,835,597.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,000,297 : 358,796,754 = 358,796,754 : x
  2. Step 2: Convert to fraction form
    171,000,297/358,796,754 = 358,796,754/x
  3. Step 3: Cross multiply
    171,000,297x = 358,796,754 × 358,796,754
  4. Step 4: Simplify right side
    171,000,297x = 128,735,110,680,936,512
  5. Step 5: Solve for x
    x = 128,735,110,680,936,512/171,000,297
  6. Step 6: Final answer
    x = 752,835,597.01

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.