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Finding the Third Proportional to 165,349,728 and 386,208,792

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Solution

The third proportional to 165,349,728 and 386,208,792 is: 902,071,220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,349,728 : 386,208,792 = 386,208,792 : x
  2. Step 2: Convert to fraction form
    165,349,728/386,208,792 = 386,208,792/x
  3. Step 3: Cross multiply
    165,349,728x = 386,208,792 × 386,208,792
  4. Step 4: Simplify right side
    165,349,728x = 149,157,231,018,099,264
  5. Step 5: Solve for x
    x = 149,157,231,018,099,264/165,349,728
  6. Step 6: Final answer
    x = 902,071,220.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.