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Finding the Third Proportional to 176,315,758.50 and 411,726,150.75

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Solution

The third proportional to 176,315,758.50 and 411,726,150.75 is: 961,447,942.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,758.50 : 411,726,150.75 = 411,726,150.75 : x
  2. Step 2: Convert to fraction form
    176,315,758.50/411,726,150.75 = 411,726,150.75/x
  3. Step 3: Cross multiply
    176,315,758.50x = 411,726,150.75 × 411,726,150.75
  4. Step 4: Simplify right side
    176,315,758.50x = 169,518,423,211,411,712
  5. Step 5: Solve for x
    x = 169,518,423,211,411,712/176,315,758.50
  6. Step 6: Final answer
    x = 961,447,942.34

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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.