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Finding the Third Proportional to 120,833,284 and 260,920,242

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Solution

The third proportional to 120,833,284 and 260,920,242 is: 563,415,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,833,284 : 260,920,242 = 260,920,242 : x
  2. Step 2: Convert to fraction form
    120,833,284/260,920,242 = 260,920,242/x
  3. Step 3: Cross multiply
    120,833,284x = 260,920,242 × 260,920,242
  4. Step 4: Simplify right side
    120,833,284x = 68,079,372,685,338,560
  5. Step 5: Solve for x
    x = 68,079,372,685,338,560/120,833,284
  6. Step 6: Final answer
    x = 563,415,728.11

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