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Finding the Third Proportional to 85,289,386.50 and 184,196,677.50

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Solution

The third proportional to 85,289,386.50 and 184,196,677.50 is: 397,803,494.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,289,386.50 : 184,196,677.50 = 184,196,677.50 : x
  2. Step 2: Convert to fraction form
    85,289,386.50/184,196,677.50 = 184,196,677.50/x
  3. Step 3: Cross multiply
    85,289,386.50x = 184,196,677.50 × 184,196,677.50
  4. Step 4: Simplify right side
    85,289,386.50x = 33,928,416,002,039,008
  5. Step 5: Solve for x
    x = 33,928,416,002,039,008/85,289,386.50
  6. Step 6: Final answer
    x = 397,803,494.60

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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.