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Finding the Third Proportional to 109,078,551 and 164,748,975

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Solution

The third proportional to 109,078,551 and 164,748,975 is: 248,831,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,078,551 : 164,748,975 = 164,748,975 : x
  2. Step 2: Convert to fraction form
    109,078,551/164,748,975 = 164,748,975/x
  3. Step 3: Cross multiply
    109,078,551x = 164,748,975 × 164,748,975
  4. Step 4: Simplify right side
    109,078,551x = 27,142,224,763,550,624
  5. Step 5: Solve for x
    x = 27,142,224,763,550,624/109,078,551
  6. Step 6: Final answer
    x = 248,831,915.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.