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Finding the Third Proportional to 127,148,170.50 and 191,653,917.75

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Solution

The third proportional to 127,148,170.50 and 191,653,917.75 is: 288,885,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,148,170.50 : 191,653,917.75 = 191,653,917.75 : x
  2. Step 2: Convert to fraction form
    127,148,170.50/191,653,917.75 = 191,653,917.75/x
  3. Step 3: Cross multiply
    127,148,170.50x = 191,653,917.75 × 191,653,917.75
  4. Step 4: Simplify right side
    127,148,170.50x = 36,731,224,188,923,768
  5. Step 5: Solve for x
    x = 36,731,224,188,923,768/127,148,170.50
  6. Step 6: Final answer
    x = 288,885,196.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.