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Finding the Third Proportional to 218,485,747.41 and 468,135,482.91

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Solution

The third proportional to 218,485,747.41 and 468,135,482.91 is: 1,003,044,056.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,485,747.41 : 468,135,482.91 = 468,135,482.91 : x
  2. Step 2: Convert to fraction form
    218,485,747.41/468,135,482.91 = 468,135,482.91/x
  3. Step 3: Cross multiply
    218,485,747.41x = 468,135,482.91 × 468,135,482.91
  4. Step 4: Simplify right side
    218,485,747.41x = 219,150,830,355,867,872
  5. Step 5: Solve for x
    x = 219,150,830,355,867,872/218,485,747.41
  6. Step 6: Final answer
    x = 1,003,044,056.45

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.