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Finding the Third Proportional to 121,976,292 and 185,823,011

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Solution

The third proportional to 121,976,292 and 185,823,011 is: 283,089,368.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,976,292 : 185,823,011 = 185,823,011 : x
  2. Step 2: Convert to fraction form
    121,976,292/185,823,011 = 185,823,011/x
  3. Step 3: Cross multiply
    121,976,292x = 185,823,011 × 185,823,011
  4. Step 4: Simplify right side
    121,976,292x = 34,530,191,417,106,120
  5. Step 5: Solve for x
    x = 34,530,191,417,106,120/121,976,292
  6. Step 6: Final answer
    x = 283,089,368.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.