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Finding the Third Proportional to 209,137,365.88 and 316,395,834.75

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Solution

The third proportional to 209,137,365.88 and 316,395,834.75 is: 478,663,025.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,137,365.88 : 316,395,834.75 = 316,395,834.75 : x
  2. Step 2: Convert to fraction form
    209,137,365.88/316,395,834.75 = 316,395,834.75/x
  3. Step 3: Cross multiply
    209,137,365.88x = 316,395,834.75 × 316,395,834.75
  4. Step 4: Simplify right side
    209,137,365.88x = 100,106,324,247,149,312
  5. Step 5: Solve for x
    x = 100,106,324,247,149,312/209,137,365.88
  6. Step 6: Final answer
    x = 478,663,025.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.