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Finding the Third Proportional to 75,135,495 and 114,937,819.50

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Solution

The third proportional to 75,135,495 and 114,937,819.50 is: 175,825,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,135,495 : 114,937,819.50 = 114,937,819.50 : x
  2. Step 2: Convert to fraction form
    75,135,495/114,937,819.50 = 114,937,819.50/x
  3. Step 3: Cross multiply
    75,135,495x = 114,937,819.50 × 114,937,819.50
  4. Step 4: Simplify right side
    75,135,495x = 13,210,702,351,414,580
  5. Step 5: Solve for x
    x = 13,210,702,351,414,580/75,135,495
  6. Step 6: Final answer
    x = 175,825,052.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.