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Finding the Third Proportional to 120,403,908 and 263,810,664

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Solution

The third proportional to 120,403,908 and 263,810,664 is: 578,021,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,403,908 : 263,810,664 = 263,810,664 : x
  2. Step 2: Convert to fraction form
    120,403,908/263,810,664 = 263,810,664/x
  3. Step 3: Cross multiply
    120,403,908x = 263,810,664 × 263,810,664
  4. Step 4: Simplify right side
    120,403,908x = 69,596,066,440,120,896
  5. Step 5: Solve for x
    x = 69,596,066,440,120,896/120,403,908
  6. Step 6: Final answer
    x = 578,021,657.24

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Why These Related Problems?

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