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Finding the Third Proportional to 86,592,103.50 and 186,719,346

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Solution

The third proportional to 86,592,103.50 and 186,719,346 is: 402,624,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,592,103.50 : 186,719,346 = 186,719,346 : x
  2. Step 2: Convert to fraction form
    86,592,103.50/186,719,346 = 186,719,346/x
  3. Step 3: Cross multiply
    86,592,103.50x = 186,719,346 × 186,719,346
  4. Step 4: Simplify right side
    86,592,103.50x = 34,864,114,170,667,716
  5. Step 5: Solve for x
    x = 34,864,114,170,667,716/86,592,103.50
  6. Step 6: Final answer
    x = 402,624,636.21

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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.