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Finding the Third Proportional to 132,377,878.69 and 288,591,224.06

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Solution

The third proportional to 132,377,878.69 and 288,591,224.06 is: 629,145,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,377,878.69 : 288,591,224.06 = 288,591,224.06 : x
  2. Step 2: Convert to fraction form
    132,377,878.69/288,591,224.06 = 288,591,224.06/x
  3. Step 3: Cross multiply
    132,377,878.69x = 288,591,224.06 × 288,591,224.06
  4. Step 4: Simplify right side
    132,377,878.69x = 83,284,894,605,892,080
  5. Step 5: Solve for x
    x = 83,284,894,605,892,080/132,377,878.69
  6. Step 6: Final answer
    x = 629,145,106.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.