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Finding the Third Proportional to 76,704,682.50 and 115,145,599.50

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Solution

The third proportional to 76,704,682.50 and 115,145,599.50 is: 172,851,365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,704,682.50 : 115,145,599.50 = 115,145,599.50 : x
  2. Step 2: Convert to fraction form
    76,704,682.50/115,145,599.50 = 115,145,599.50/x
  3. Step 3: Cross multiply
    76,704,682.50x = 115,145,599.50 × 115,145,599.50
  4. Step 4: Simplify right side
    76,704,682.50x = 13,258,509,084,214,400
  5. Step 5: Solve for x
    x = 13,258,509,084,214,400/76,704,682.50
  6. Step 6: Final answer
    x = 172,851,365.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.