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Finding the Third Proportional to 89,001,501.75 and 184,824,256.50

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Solution

The third proportional to 89,001,501.75 and 184,824,256.50 is: 383,813,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,001,501.75 : 184,824,256.50 = 184,824,256.50 : x
  2. Step 2: Convert to fraction form
    89,001,501.75/184,824,256.50 = 184,824,256.50/x
  3. Step 3: Cross multiply
    89,001,501.75x = 184,824,256.50 × 184,824,256.50
  4. Step 4: Simplify right side
    89,001,501.75x = 34,160,005,790,777,792
  5. Step 5: Solve for x
    x = 34,160,005,790,777,792/89,001,501.75
  6. Step 6: Final answer
    x = 383,813,813.46

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.