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Finding the Third Proportional to 195,186,113.25 and 260,219,113.50

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Solution

The third proportional to 195,186,113.25 and 260,219,113.50 is: 346,920,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,186,113.25 : 260,219,113.50 = 260,219,113.50 : x
  2. Step 2: Convert to fraction form
    195,186,113.25/260,219,113.50 = 260,219,113.50/x
  3. Step 3: Cross multiply
    195,186,113.25x = 260,219,113.50 × 260,219,113.50
  4. Step 4: Simplify right side
    195,186,113.25x = 67,713,987,030,725,880
  5. Step 5: Solve for x
    x = 67,713,987,030,725,880/195,186,113.25
  6. Step 6: Final answer
    x = 346,920,105.65

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.