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Finding the Third Proportional to 121,709,664 and 270,631,872

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Solution

The third proportional to 121,709,664 and 270,631,872 is: 601,773,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,709,664 : 270,631,872 = 270,631,872 : x
  2. Step 2: Convert to fraction form
    121,709,664/270,631,872 = 270,631,872/x
  3. Step 3: Cross multiply
    121,709,664x = 270,631,872 × 270,631,872
  4. Step 4: Simplify right side
    121,709,664x = 73,241,610,142,224,384
  5. Step 5: Solve for x
    x = 73,241,610,142,224,384/121,709,664
  6. Step 6: Final answer
    x = 601,773,168.50

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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.