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Finding the Third Proportional to 195,485,475 and 286,837,744.50

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Solution

The third proportional to 195,485,475 and 286,837,744.50 is: 420,879,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,485,475 : 286,837,744.50 = 286,837,744.50 : x
  2. Step 2: Convert to fraction form
    195,485,475/286,837,744.50 = 286,837,744.50/x
  3. Step 3: Cross multiply
    195,485,475x = 286,837,744.50 × 286,837,744.50
  4. Step 4: Simplify right side
    195,485,475x = 82,275,891,669,847,280
  5. Step 5: Solve for x
    x = 82,275,891,669,847,280/195,485,475
  6. Step 6: Final answer
    x = 420,879,820.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.