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Finding the Third Proportional to 176,498,642 and 272,191,539

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Solution

The third proportional to 176,498,642 and 272,191,539 is: 419,766,594.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,498,642 : 272,191,539 = 272,191,539 : x
  2. Step 2: Convert to fraction form
    176,498,642/272,191,539 = 272,191,539/x
  3. Step 3: Cross multiply
    176,498,642x = 272,191,539 × 272,191,539
  4. Step 4: Simplify right side
    176,498,642x = 74,088,233,903,188,528
  5. Step 5: Solve for x
    x = 74,088,233,903,188,528/176,498,642
  6. Step 6: Final answer
    x = 419,766,594.60

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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.