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Finding the Third Proportional to 260,698,267.13 and 365,367,952.13

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Solution

The third proportional to 260,698,267.13 and 365,367,952.13 is: 512,062,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,698,267.13 : 365,367,952.13 = 365,367,952.13 : x
  2. Step 2: Convert to fraction form
    260,698,267.13/365,367,952.13 = 365,367,952.13/x
  3. Step 3: Cross multiply
    260,698,267.13x = 365,367,952.13 × 365,367,952.13
  4. Step 4: Simplify right side
    260,698,267.13x = 133,493,740,440,016,288
  5. Step 5: Solve for x
    x = 133,493,740,440,016,288/260,698,267.13
  6. Step 6: Final answer
    x = 512,062,246.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.