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Finding the Third Proportional to 99,804,757.50 and 218,423,911.50

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Solution

The third proportional to 99,804,757.50 and 218,423,911.50 is: 478,023,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,804,757.50 : 218,423,911.50 = 218,423,911.50 : x
  2. Step 2: Convert to fraction form
    99,804,757.50/218,423,911.50 = 218,423,911.50/x
  3. Step 3: Cross multiply
    99,804,757.50x = 218,423,911.50 × 218,423,911.50
  4. Step 4: Simplify right side
    99,804,757.50x = 47,709,005,114,959,832
  5. Step 5: Solve for x
    x = 47,709,005,114,959,832/99,804,757.50
  6. Step 6: Final answer
    x = 478,023,355.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.