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Finding the Third Proportional to 162,565,347 and 247,659,196.50

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Solution

The third proportional to 162,565,347 and 247,659,196.50 is: 377,294,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,565,347 : 247,659,196.50 = 247,659,196.50 : x
  2. Step 2: Convert to fraction form
    162,565,347/247,659,196.50 = 247,659,196.50/x
  3. Step 3: Cross multiply
    162,565,347x = 247,659,196.50 × 247,659,196.50
  4. Step 4: Simplify right side
    162,565,347x = 61,335,077,611,025,616
  5. Step 5: Solve for x
    x = 61,335,077,611,025,616/162,565,347
  6. Step 6: Final answer
    x = 377,294,907.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.