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Finding the Third Proportional to 167,204,772 and 349,655,242.50

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Solution

The third proportional to 167,204,772 and 349,655,242.50 is: 731,191,981.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,772 : 349,655,242.50 = 349,655,242.50 : x
  2. Step 2: Convert to fraction form
    167,204,772/349,655,242.50 = 349,655,242.50/x
  3. Step 3: Cross multiply
    167,204,772x = 349,655,242.50 × 349,655,242.50
  4. Step 4: Simplify right side
    167,204,772x = 122,258,788,607,733,808
  5. Step 5: Solve for x
    x = 122,258,788,607,733,808/167,204,772
  6. Step 6: Final answer
    x = 731,191,981.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.