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Finding the Third Proportional to 133,971,650 and 290,205,240.50

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Solution

The third proportional to 133,971,650 and 290,205,240.50 is: 628,633,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971,650 : 290,205,240.50 = 290,205,240.50 : x
  2. Step 2: Convert to fraction form
    133,971,650/290,205,240.50 = 290,205,240.50/x
  3. Step 3: Cross multiply
    133,971,650x = 290,205,240.50 × 290,205,240.50
  4. Step 4: Simplify right side
    133,971,650x = 84,219,081,613,662,848
  5. Step 5: Solve for x
    x = 84,219,081,613,662,848/133,971,650
  6. Step 6: Final answer
    x = 628,633,607.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.