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Finding the Third Proportional to 102,346,903.50 and 241,606,317.75

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Solution

The third proportional to 102,346,903.50 and 241,606,317.75 is: 570,350,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,346,903.50 : 241,606,317.75 = 241,606,317.75 : x
  2. Step 2: Convert to fraction form
    102,346,903.50/241,606,317.75 = 241,606,317.75/x
  3. Step 3: Cross multiply
    102,346,903.50x = 241,606,317.75 × 241,606,317.75
  4. Step 4: Simplify right side
    102,346,903.50x = 58,373,612,776,713,968
  5. Step 5: Solve for x
    x = 58,373,612,776,713,968/102,346,903.50
  6. Step 6: Final answer
    x = 570,350,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.