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Finding the Third Proportional to 164,822,521 and 343,209,249

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Solution

The third proportional to 164,822,521 and 343,209,249 is: 714,663,189.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,822,521 : 343,209,249 = 343,209,249 : x
  2. Step 2: Convert to fraction form
    164,822,521/343,209,249 = 343,209,249/x
  3. Step 3: Cross multiply
    164,822,521x = 343,209,249 × 343,209,249
  4. Step 4: Simplify right side
    164,822,521x = 117,792,588,599,144,000
  5. Step 5: Solve for x
    x = 117,792,588,599,144,000/164,822,521
  6. Step 6: Final answer
    x = 714,663,189.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.