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Finding the Third Proportional to 120,539,930.63 and 261,628,913.25

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Solution

The third proportional to 120,539,930.63 and 261,628,913.25 is: 567,859,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,539,930.63 : 261,628,913.25 = 261,628,913.25 : x
  2. Step 2: Convert to fraction form
    120,539,930.63/261,628,913.25 = 261,628,913.25/x
  3. Step 3: Cross multiply
    120,539,930.63x = 261,628,913.25 × 261,628,913.25
  4. Step 4: Simplify right side
    120,539,930.63x = 68,449,688,248,376,024
  5. Step 5: Solve for x
    x = 68,449,688,248,376,024/120,539,930.63
  6. Step 6: Final answer
    x = 567,859,031.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.