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Finding the Third Proportional to 52,365,784.50 and 110,158,245

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Solution

The third proportional to 52,365,784.50 and 110,158,245 is: 231,732,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,365,784.50 : 110,158,245 = 110,158,245 : x
  2. Step 2: Convert to fraction form
    52,365,784.50/110,158,245 = 110,158,245/x
  3. Step 3: Cross multiply
    52,365,784.50x = 110,158,245 × 110,158,245
  4. Step 4: Simplify right side
    52,365,784.50x = 12,134,838,941,480,024
  5. Step 5: Solve for x
    x = 12,134,838,941,480,024/52,365,784.50
  6. Step 6: Final answer
    x = 231,732,209.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.