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Finding the Third Proportional to 156,293,942 and 229,758,017

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Solution

The third proportional to 156,293,942 and 229,758,017 is: 337,752,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,293,942 : 229,758,017 = 229,758,017 : x
  2. Step 2: Convert to fraction form
    156,293,942/229,758,017 = 229,758,017/x
  3. Step 3: Cross multiply
    156,293,942x = 229,758,017 × 229,758,017
  4. Step 4: Simplify right side
    156,293,942x = 52,788,746,375,772,288
  5. Step 5: Solve for x
    x = 52,788,746,375,772,288/156,293,942
  6. Step 6: Final answer
    x = 337,752,990.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.