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Finding the Third Proportional to 176,315,721.75 and 411,726,057.75

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Solution

The third proportional to 176,315,721.75 and 411,726,057.75 is: 961,447,708.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,721.75 : 411,726,057.75 = 411,726,057.75 : x
  2. Step 2: Convert to fraction form
    176,315,721.75/411,726,057.75 = 411,726,057.75/x
  3. Step 3: Cross multiply
    176,315,721.75x = 411,726,057.75 × 411,726,057.75
  4. Step 4: Simplify right side
    176,315,721.75x = 169,518,346,630,356,320
  5. Step 5: Solve for x
    x = 169,518,346,630,356,320/176,315,721.75
  6. Step 6: Final answer
    x = 961,447,708.39

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.