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Finding the Third Proportional to 85,241,641.50 and 184,123,692

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Solution

The third proportional to 85,241,641.50 and 184,123,692 is: 397,710,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,241,641.50 : 184,123,692 = 184,123,692 : x
  2. Step 2: Convert to fraction form
    85,241,641.50/184,123,692 = 184,123,692/x
  3. Step 3: Cross multiply
    85,241,641.50x = 184,123,692 × 184,123,692
  4. Step 4: Simplify right side
    85,241,641.50x = 33,901,533,955,710,864
  5. Step 5: Solve for x
    x = 33,901,533,955,710,864/85,241,641.50
  6. Step 6: Final answer
    x = 397,710,946.89

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Why These Related Problems?

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