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Finding the Third Proportional to 121,122,769.50 and 265,695,168

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Solution

The third proportional to 121,122,769.50 and 265,695,168 is: 582,829,492.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122,769.50 : 265,695,168 = 265,695,168 : x
  2. Step 2: Convert to fraction form
    121,122,769.50/265,695,168 = 265,695,168/x
  3. Step 3: Cross multiply
    121,122,769.50x = 265,695,168 × 265,695,168
  4. Step 4: Simplify right side
    121,122,769.50x = 70,593,922,298,548,224
  5. Step 5: Solve for x
    x = 70,593,922,298,548,224/121,122,769.50
  6. Step 6: Final answer
    x = 582,829,492.67

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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.