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Finding the Third Proportional to 166,388,962.50 and 259,656,322.50

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Solution

The third proportional to 166,388,962.50 and 259,656,322.50 is: 405,203,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,388,962.50 : 259,656,322.50 = 259,656,322.50 : x
  2. Step 2: Convert to fraction form
    166,388,962.50/259,656,322.50 = 259,656,322.50/x
  3. Step 3: Cross multiply
    166,388,962.50x = 259,656,322.50 × 259,656,322.50
  4. Step 4: Simplify right side
    166,388,962.50x = 67,421,405,814,224,008
  5. Step 5: Solve for x
    x = 67,421,405,814,224,008/166,388,962.50
  6. Step 6: Final answer
    x = 405,203,595.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.