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Finding the Third Proportional to 175,673,382 and 381,588,237

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Solution

The third proportional to 175,673,382 and 381,588,237 is: 828,865,369.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,673,382 : 381,588,237 = 381,588,237 : x
  2. Step 2: Convert to fraction form
    175,673,382/381,588,237 = 381,588,237/x
  3. Step 3: Cross multiply
    175,673,382x = 381,588,237 × 381,588,237
  4. Step 4: Simplify right side
    175,673,382x = 145,609,582,616,768,160
  5. Step 5: Solve for x
    x = 145,609,582,616,768,160/175,673,382
  6. Step 6: Final answer
    x = 828,865,369.12

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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.