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Finding the Third Proportional to 104,281,468.50 and 157,764,352.50

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Solution

The third proportional to 104,281,468.50 and 157,764,352.50 is: 238,677,027.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,281,468.50 : 157,764,352.50 = 157,764,352.50 : x
  2. Step 2: Convert to fraction form
    104,281,468.50/157,764,352.50 = 157,764,352.50/x
  3. Step 3: Cross multiply
    104,281,468.50x = 157,764,352.50 × 157,764,352.50
  4. Step 4: Simplify right side
    104,281,468.50x = 24,889,590,919,744,256
  5. Step 5: Solve for x
    x = 24,889,590,919,744,256/104,281,468.50
  6. Step 6: Final answer
    x = 238,677,027.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.