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Finding the Third Proportional to 176,498,643 and 272,191,540.50

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Solution

The third proportional to 176,498,643 and 272,191,540.50 is: 419,766,596.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498,643 : 272,191,540.50 = 272,191,540.50 : x
  2. Step 2: Convert to fraction form
    176,498,643/272,191,540.50 = 272,191,540.50/x
  3. Step 3: Cross multiply
    176,498,643x = 272,191,540.50 × 272,191,540.50
  4. Step 4: Simplify right side
    176,498,643x = 74,088,234,719,763,136
  5. Step 5: Solve for x
    x = 74,088,234,719,763,136/176,498,643
  6. Step 6: Final answer
    x = 419,766,596.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.