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Finding the Third Proportional to 136,816,230 and 212,027,485.50

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Solution

The third proportional to 136,816,230 and 212,027,485.50 is: 328,584,222.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,816,230 : 212,027,485.50 = 212,027,485.50 : x
  2. Step 2: Convert to fraction form
    136,816,230/212,027,485.50 = 212,027,485.50/x
  3. Step 3: Cross multiply
    136,816,230x = 212,027,485.50 × 212,027,485.50
  4. Step 4: Simplify right side
    136,816,230x = 44,955,654,607,452,712
  5. Step 5: Solve for x
    x = 44,955,654,607,452,712/136,816,230
  6. Step 6: Final answer
    x = 328,584,222.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.