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Finding the Third Proportional to 85,068,225 and 182,241,616.50

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Solution

The third proportional to 85,068,225 and 182,241,616.50 is: 390,416,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,068,225 : 182,241,616.50 = 182,241,616.50 : x
  2. Step 2: Convert to fraction form
    85,068,225/182,241,616.50 = 182,241,616.50/x
  3. Step 3: Cross multiply
    85,068,225x = 182,241,616.50 × 182,241,616.50
  4. Step 4: Simplify right side
    85,068,225x = 33,212,006,784,533,072
  5. Step 5: Solve for x
    x = 33,212,006,784,533,072/85,068,225
  6. Step 6: Final answer
    x = 390,416,125.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.