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Finding the Third Proportional to 171,875,713.50 and 272,605,550.25

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Solution

The third proportional to 171,875,713.50 and 272,605,550.25 is: 432,369,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,875,713.50 : 272,605,550.25 = 272,605,550.25 : x
  2. Step 2: Convert to fraction form
    171,875,713.50/272,605,550.25 = 272,605,550.25/x
  3. Step 3: Cross multiply
    171,875,713.50x = 272,605,550.25 × 272,605,550.25
  4. Step 4: Simplify right side
    171,875,713.50x = 74,313,786,027,105,280
  5. Step 5: Solve for x
    x = 74,313,786,027,105,280/171,875,713.50
  6. Step 6: Final answer
    x = 432,369,323.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.