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Finding the Third Proportional to 166,946,349 and 230,688,301.50

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Solution

The third proportional to 166,946,349 and 230,688,301.50 is: 318,767,632.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,946,349 : 230,688,301.50 = 230,688,301.50 : x
  2. Step 2: Convert to fraction form
    166,946,349/230,688,301.50 = 230,688,301.50/x
  3. Step 3: Cross multiply
    166,946,349x = 230,688,301.50 × 230,688,301.50
  4. Step 4: Simplify right side
    166,946,349x = 53,217,092,448,954,904
  5. Step 5: Solve for x
    x = 53,217,092,448,954,904/166,946,349
  6. Step 6: Final answer
    x = 318,767,632.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.