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Finding the Third Proportional to 51,281,410.50 and 112,288,479.75

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Solution

The third proportional to 51,281,410.50 and 112,288,479.75 is: 245,872,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,281,410.50 : 112,288,479.75 = 112,288,479.75 : x
  2. Step 2: Convert to fraction form
    51,281,410.50/112,288,479.75 = 112,288,479.75/x
  3. Step 3: Cross multiply
    51,281,410.50x = 112,288,479.75 × 112,288,479.75
  4. Step 4: Simplify right side
    51,281,410.50x = 12,608,702,684,566,160
  5. Step 5: Solve for x
    x = 12,608,702,684,566,160/51,281,410.50
  6. Step 6: Final answer
    x = 245,872,774.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.