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Finding the Third Proportional to 133,971,664.50 and 290,205,281.25

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Solution

The third proportional to 133,971,664.50 and 290,205,281.25 is: 628,633,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971,664.50 : 290,205,281.25 = 290,205,281.25 : x
  2. Step 2: Convert to fraction form
    133,971,664.50/290,205,281.25 = 290,205,281.25/x
  3. Step 3: Cross multiply
    133,971,664.50x = 290,205,281.25 × 290,205,281.25
  4. Step 4: Simplify right side
    133,971,664.50x = 84,219,105,265,391,600
  5. Step 5: Solve for x
    x = 84,219,105,265,391,600/133,971,664.50
  6. Step 6: Final answer
    x = 628,633,715.79

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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.