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Finding the Third Proportional to 240,289,029 and 372,239,257.50

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Solution

The third proportional to 240,289,029 and 372,239,257.50 is: 576,647,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,289,029 : 372,239,257.50 = 372,239,257.50 : x
  2. Step 2: Convert to fraction form
    240,289,029/372,239,257.50 = 372,239,257.50/x
  3. Step 3: Cross multiply
    240,289,029x = 372,239,257.50 × 372,239,257.50
  4. Step 4: Simplify right side
    240,289,029x = 138,562,064,824,151,312
  5. Step 5: Solve for x
    x = 138,562,064,824,151,312/240,289,029
  6. Step 6: Final answer
    x = 576,647,487.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.