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Finding the Third Proportional to 167,867,769 and 258,977,146.50

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Solution

The third proportional to 167,867,769 and 258,977,146.50 is: 399,535,675.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,867,769 : 258,977,146.50 = 258,977,146.50 : x
  2. Step 2: Convert to fraction form
    167,867,769/258,977,146.50 = 258,977,146.50/x
  3. Step 3: Cross multiply
    167,867,769x = 258,977,146.50 × 258,977,146.50
  4. Step 4: Simplify right side
    167,867,769x = 67,069,162,409,282,464
  5. Step 5: Solve for x
    x = 67,069,162,409,282,464/167,867,769
  6. Step 6: Final answer
    x = 399,535,675.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.