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Finding the Third Proportional to 133,111,536 and 290,720,232

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Solution

The third proportional to 133,111,536 and 290,720,232 is: 634,943,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,111,536 : 290,720,232 = 290,720,232 : x
  2. Step 2: Convert to fraction form
    133,111,536/290,720,232 = 290,720,232/x
  3. Step 3: Cross multiply
    133,111,536x = 290,720,232 × 290,720,232
  4. Step 4: Simplify right side
    133,111,536x = 84,518,253,294,133,824
  5. Step 5: Solve for x
    x = 84,518,253,294,133,824/133,111,536
  6. Step 6: Final answer
    x = 634,943,114.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.