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Finding the Third Proportional to 121,122,764.50 and 265,695,152

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Solution

The third proportional to 121,122,764.50 and 265,695,152 is: 582,829,446.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,122,764.50 : 265,695,152 = 265,695,152 : x
  2. Step 2: Convert to fraction form
    121,122,764.50/265,695,152 = 265,695,152/x
  3. Step 3: Cross multiply
    121,122,764.50x = 265,695,152 × 265,695,152
  4. Step 4: Simplify right side
    121,122,764.50x = 70,593,913,796,303,104
  5. Step 5: Solve for x
    x = 70,593,913,796,303,104/121,122,764.50
  6. Step 6: Final answer
    x = 582,829,446.53

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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.