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Finding the Third Proportional to 175,368,414 and 245,175,363

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Solution

The third proportional to 175,368,414 and 245,175,363 is: 342,769,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,368,414 : 245,175,363 = 245,175,363 : x
  2. Step 2: Convert to fraction form
    175,368,414/245,175,363 = 245,175,363/x
  3. Step 3: Cross multiply
    175,368,414x = 245,175,363 × 245,175,363
  4. Step 4: Simplify right side
    175,368,414x = 60,110,958,622,181,768
  5. Step 5: Solve for x
    x = 60,110,958,622,181,768/175,368,414
  6. Step 6: Final answer
    x = 342,769,585.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.