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Finding the Third Proportional to 179,050,767 and 284,718,363

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Solution

The third proportional to 179,050,767 and 284,718,363 is: 452,746,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,050,767 : 284,718,363 = 284,718,363 : x
  2. Step 2: Convert to fraction form
    179,050,767/284,718,363 = 284,718,363/x
  3. Step 3: Cross multiply
    179,050,767x = 284,718,363 × 284,718,363
  4. Step 4: Simplify right side
    179,050,767x = 81,064,546,229,399,776
  5. Step 5: Solve for x
    x = 81,064,546,229,399,776/179,050,767
  6. Step 6: Final answer
    x = 452,746,154.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.