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Finding the Third Proportional to 121,854,146 and 263,771,524

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Solution

The third proportional to 121,854,146 and 263,771,524 is: 570,972,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,854,146 : 263,771,524 = 263,771,524 : x
  2. Step 2: Convert to fraction form
    121,854,146/263,771,524 = 263,771,524/x
  3. Step 3: Cross multiply
    121,854,146x = 263,771,524 × 263,771,524
  4. Step 4: Simplify right side
    121,854,146x = 69,575,416,873,282,576
  5. Step 5: Solve for x
    x = 69,575,416,873,282,576/121,854,146
  6. Step 6: Final answer
    x = 570,972,914.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.