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Finding the Third Proportional to 121,677,686 and 185,581,247

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Solution

The third proportional to 121,677,686 and 185,581,247 is: 283,046,139.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,677,686 : 185,581,247 = 185,581,247 : x
  2. Step 2: Convert to fraction form
    121,677,686/185,581,247 = 185,581,247/x
  3. Step 3: Cross multiply
    121,677,686x = 185,581,247 × 185,581,247
  4. Step 4: Simplify right side
    121,677,686x = 34,440,399,238,075,008
  5. Step 5: Solve for x
    x = 34,440,399,238,075,008/121,677,686
  6. Step 6: Final answer
    x = 283,046,139.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.