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Finding the Third Proportional to 205,530,330 and 485,014,776

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Solution

The third proportional to 205,530,330 and 485,014,776 is: 1,144,548,023.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,530,330 : 485,014,776 = 485,014,776 : x
  2. Step 2: Convert to fraction form
    205,530,330/485,014,776 = 485,014,776/x
  3. Step 3: Cross multiply
    205,530,330x = 485,014,776 × 485,014,776
  4. Step 4: Simplify right side
    205,530,330x = 235,239,332,938,330,176
  5. Step 5: Solve for x
    x = 235,239,332,938,330,176/205,530,330
  6. Step 6: Final answer
    x = 1,144,548,023.34

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.