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Finding the Third Proportional to 134,964,388,699.50 and 290,240,452,419

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Solution

The third proportional to 134,964,388,699.50 and 290,240,452,419 is: 624,161,091,915.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964,388,699.50 : 290,240,452,419 = 290,240,452,419 : x
  2. Step 2: Convert to fraction form
    134,964,388,699.50/290,240,452,419 = 290,240,452,419/x
  3. Step 3: Cross multiply
    134,964,388,699.50x = 290,240,452,419 × 290,240,452,419
  4. Step 4: Simplify right side
    134,964,388,699.50x = 84,239,520,220,385,810,317,312
  5. Step 5: Solve for x
    x = 84,239,520,220,385,810,317,312/134,964,388,699.50
  6. Step 6: Final answer
    x = 624,161,091,915.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.