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Finding the Third Proportional to 76,922,379 and 118,947,406.50

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Solution

The third proportional to 76,922,379 and 118,947,406.50 is: 183,931,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922,379 : 118,947,406.50 = 118,947,406.50 : x
  2. Step 2: Convert to fraction form
    76,922,379/118,947,406.50 = 118,947,406.50/x
  3. Step 3: Cross multiply
    76,922,379x = 118,947,406.50 × 118,947,406.50
  4. Step 4: Simplify right side
    76,922,379x = 14,148,485,513,076,242
  5. Step 5: Solve for x
    x = 14,148,485,513,076,242/76,922,379
  6. Step 6: Final answer
    x = 183,931,980.48

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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.