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Finding the Third Proportional to 176,315,719.50 and 411,726,051.56

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Solution

The third proportional to 176,315,719.50 and 411,726,051.56 is: 961,447,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,719.50 : 411,726,051.56 = 411,726,051.56 : x
  2. Step 2: Convert to fraction form
    176,315,719.50/411,726,051.56 = 411,726,051.56/x
  3. Step 3: Cross multiply
    176,315,719.50x = 411,726,051.56 × 411,726,051.56
  4. Step 4: Simplify right side
    176,315,719.50x = 169,518,341,535,246,400
  5. Step 5: Solve for x
    x = 169,518,341,535,246,400/176,315,719.50
  6. Step 6: Final answer
    x = 961,447,691.77

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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.