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Finding the Third Proportional to 172,398,368 and 383,060,560

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Solution

The third proportional to 172,398,368 and 383,060,560 is: 851,141,425.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,398,368 : 383,060,560 = 383,060,560 : x
  2. Step 2: Convert to fraction form
    172,398,368/383,060,560 = 383,060,560/x
  3. Step 3: Cross multiply
    172,398,368x = 383,060,560 × 383,060,560
  4. Step 4: Simplify right side
    172,398,368x = 146,735,392,627,513,600
  5. Step 5: Solve for x
    x = 146,735,392,627,513,600/172,398,368
  6. Step 6: Final answer
    x = 851,141,425.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.