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Finding the Third Proportional to 99,525,373,814 and 219,337,189,040

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Solution

The third proportional to 99,525,373,814 and 219,337,189,040 is: 483,382,283,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,525,373,814 : 219,337,189,040 = 219,337,189,040 : x
  2. Step 2: Convert to fraction form
    99,525,373,814/219,337,189,040 = 219,337,189,040/x
  3. Step 3: Cross multiply
    99,525,373,814x = 219,337,189,040 × 219,337,189,040
  4. Step 4: Simplify right side
    99,525,373,814x = 48,108,802,495,968,696,074,240
  5. Step 5: Solve for x
    x = 48,108,802,495,968,696,074,240/99,525,373,814
  6. Step 6: Final answer
    x = 483,382,283,857.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.