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Finding the Third Proportional to 127,153,536.75 and 274,634,509.50

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Solution

The third proportional to 127,153,536.75 and 274,634,509.50 is: 593,173,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,153,536.75 : 274,634,509.50 = 274,634,509.50 : x
  2. Step 2: Convert to fraction form
    127,153,536.75/274,634,509.50 = 274,634,509.50/x
  3. Step 3: Cross multiply
    127,153,536.75x = 274,634,509.50 × 274,634,509.50
  4. Step 4: Simplify right side
    127,153,536.75x = 75,424,113,808,305,584
  5. Step 5: Solve for x
    x = 75,424,113,808,305,584/127,153,536.75
  6. Step 6: Final answer
    x = 593,173,542.29

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.