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Finding the Third Proportional to 163,680,348 and 354,604,382

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Solution

The third proportional to 163,680,348 and 354,604,382 is: 768,230,696.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,680,348 : 354,604,382 = 354,604,382 : x
  2. Step 2: Convert to fraction form
    163,680,348/354,604,382 = 354,604,382/x
  3. Step 3: Cross multiply
    163,680,348x = 354,604,382 × 354,604,382
  4. Step 4: Simplify right side
    163,680,348x = 125,744,267,733,601,920
  5. Step 5: Solve for x
    x = 125,744,267,733,601,920/163,680,348
  6. Step 6: Final answer
    x = 768,230,696.42

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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.